Teacher Details

Varsha Shridhar Gejji

Department Of Mathematics

vsgejji@math.unipune.ac.in

Research Areas : Applied Analysis, Fractional Differential Equations


Google Scholar Profile | ResearchGate Profile

1)    Jhinga, A., Daftardar-Gejji, V. (2021). Dynamics and stability analysis of fractional model for El-Nin˜ o involving delay. Chaos, Solitons and Fractals, 151, 111233. ISSN(print/online): 0960-0779/1873-2887, URL/DOI: http://dx.doi.org/10.1016/j.chaos.2021.111233
2)    Kumar, M., Jhinga, A., Daftardar-Gejji, V. (2020). New Algorithm for Solving Non-linear Functional Equations. International Journal of Applied and Computational Mathematics, 6 (2), 26. ISSN(print/online): 2349-5103/2199-5796, URL/DOI: http://dx.doi.org/10.1007/s40819-020-0774-0
3)    Prakash, P., Choudhary, S., Daftardar-Gejji, V. (2020). Exact solutions of generalized nonlinear time-fractional reaction-diffusion equations with time delay. European Physical Journal Plus, 135 (6), 1-24. ISSN(print/online): 2190-5444, URL/DOI: http://dx.doi.org/10.1140/epjp/s13360-020-00445-1
4)    Pakhare, S.S., Daftardar-Gejji, V., Badwaik, D.S., Deshpande, A., Gade, P.M. (2020). Emergence of order in dynamical phases in coupled fractional gauss map. Chaos, Solitons and Fractals, 135, 109770. Google Scholar Citations, ISSN(print/online): 0960-0779/1873-2887, URL/DOI: http://dx.doi.org/10.1016/j.chaos.2020.109770
5)    Deshpande, A.S., Daftardar-Gejji, V., Vellaisamy, P. (2019). Analysis of intersections of trajectories of systems of linear fractional differential equations. Chaos: An Interdisciplinary Journal of Nonlinear Science , 29 (1), 013113. ISSN(print/online): 1054-1500/1089-7682, URL/DOI: http://dx.doi.org/10.1063/1.5052067
6)    Choudhary, S., Daftardar-Gejji, V. (2019). Solving systems of multi-term fractional PDEs: Invariant subspace approach. International Journal of Modeling, Simulation, and Scientific Computing, 10 (1), Google Scholar Citations, ISSN(print/online): 1793-9623/1793-9615, URL/DOI: http://dx.doi.org/10.1142/S1793962319410101
7)    Choudhary, S., Prakash, P., Daftardar-Gejji, V. (2019). Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions. Computational and Applied Mathematics, 38 (3), 126. ISSN(print/online): 2238-3603/1807-0302, URL/DOI: http://dx.doi.org/10.1007/s40314-019-0879-4
8)    Kumar, M., Daftardar-Gejji, V. (2019). A new family of predictor-corrector methods for solving fractional differential equations. Applied Mathematics and Computation, 363, 124633. ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2019.124633
9)    Deshpande, A., Daftardar-Gejji, V. (2019). Chaotic dynamics of fractional Vallis system for El-Nino. Fractional Calculus and Applied Analysis, 22 (3), 825-842. ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://dx.doi.org/10.1515/fca-2019-0045
10)    Jhinga, A., Daftardar-Gejji, V. (2019). A new numerical method for solving fractional delay differential equations. Computational and Applied Mathematics, 38 (4), 166. ISSN(print/online): 2238-3603/1807-0302, URL/DOI: http://dx.doi.org/10.1007/s40314-019-0951-0
11)    Jhinga, A., Daftardar-Gejji, V. (2018). A new finite-difference predictor-corrector method for fractional differential equations. Applied Mathematics and Computation, 336, 418-432. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2018.05.003
12)    Choudhary, S., Daftardar-Gejji, V. (2018). Erratum to: Invariant subspace method: A tool for solving fractional partial differential equations, in: FCAA-20-2-2017. Fractional Calculus and Applied Analysis, 21 (3), 864-865. ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://dx.doi.org/10.1515/fca-2018-0046
13)    Choudhary, S., Daftardar-Gejji, V. (2017). Invariant subspace method: a tool for solving fractional partial differential equations. Fractional Calculus and Applied Analysis, 20 (2), 477-493. Google Scholar Citations, ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://dx.doi.org/10.1515/fca-2017-0024
14)    Sukale, Y., Daftardar-Gejji, V. (2017). New Numerical Methods for Solving Differential Equations. International Journal of Applied and Computational Mathematics, 3 (3), 1639-1660. ISSN(print/online): 2349-5103/2199-5796, URL/DOI: http://dx.doi.org/10.1007/s40819-016-0264-6
15)    Deshpande, A.S., Daftardar-Gejji, V., Sukale, Y.V. (2017). On Hopf bifurcation in fractional dynamical systems. Chaos, Solitons and Fractals, 98, 189-198. ISSN(print/online): 0960-0779/1873-2887, URL/DOI: http://dx.doi.org/10.1016/j.chaos.2017.03.034
16)    Deshpande, A.S., Daftardar-Gejji, V. (2017). On disappearance of chaos in fractional systems. Chaos, Solitons and Fractals, 102, 119-126. ISSN(print/online): 0960-0779/1873-2887, URL/DOI: http://dx.doi.org/10.1016/j.chaos.2017.04.046
17)    Deshpande, A., Daftardar-Gejji, V. (2016). Local stable manifold theorem for fractional systems. Nonlinear Dynamics, 83 (4), 2435-2452. Google Scholar Citations, ISSN(print/online): 0924-090X/1573-269X, URL/DOI: http://dx.doi.org/10.1007/s11071-015-2492-4
18)    Bhalekar, S., Daftardar-Gejji, V. (2016). Chaos in fractional order financial delay system. Computers and Mathematics with Applications, 131, 109521. Google Scholar Citations, ISSN(print/online): 0898-1221/1873-7668, URL/DOI: http://dx.doi.org/10.1016/j.camwa.2016.03.009
19)    Deshapende, A., Daftardar-Gejji, V. (2016). Chaos in discrete fractional difference equations. Pramana: Journal of Physics, 87 (4), 49. ISSN(print/online): 0304-4289/0973-7111, URL/DOI: http://dx.doi.org/10.1007/s12043-016-1231-9
20)    Daftardar-Gejji, V., Sukale, Y., Bhalekar, S. (2015). Solving Fractional Delay Differential Equations: A New Approach. Fractional Calculus and Applied Analysis, 18 (2), 400-418. Google Scholar Citations, ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://dx.doi.org/10.1515/fca-2015-0026
21)    Baleanu, D., Magin, R.L., Bhalekar, S., Daftardar-Gejji, V. (2015). Chaos in the fractional order nonlinear Bloch equation with delay. Communications in Nonlinear Science and Numerical Simulation, 25 (1-3), 41-49. Google Scholar Citations, ISSN(print/online): 1007-5704/1878-7274, URL/DOI: http://dx.doi.org/10.1016/j.cnsns.2015.01.004
22)    Choudhary, S., Daftardar-Gejji, V. (2015). Existence and uniqueness theorems for multi-term fractional delay differential eqautions. Fractional Calculus and Applied Analysis, 18 (5), 1113-1127. ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://dx.doi.org/10.1515/fca-2015-0064
23)    Daftardar-Gejji, V., Sukale, Y., Bhalekar, S. (2014). A new predictor–corrector method for fractional differential equations. Applied Mathematics and Computation, 244, 158-182. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2014.06.097
24)    Choudhary, S., Daftardar-Gejji, V. (2014). Nonlinear multi-order fractional differential equations with periodic/anti-periodic boundary conditions. Fractional Calculus and Applied Analysis, 17 (2), 333–347. Google Scholar Citations, ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://dx.doi.org/10.2478/s13540-014-0172-6
26)    Bhalekar, S., Daftardar-Gejji, V. (2012). Solving a system of nonlinear functional equations using revised new iterative method. WASET International Journal of Materials and Metallurgical Engineering, 6 (8), 806-810. Google Scholar Citations, ISSN(print/online): 2010-376X/2010-3778, URL/DOI: http://www.waset.org/publications/1209
27)    Bhalekar, S., Daftardar-Gejji, V. (2012). Solving Fractional-Order Logistic Equation Using a New Iterative Method. International Journal of Differential Equations, 2012, 975829-975840. Google Scholar Citations, ISSN(print/online): 1687-9643/1687-9651, URL/DOI: http://dx.doi.org/10.1155/2012/975829
28)    Bhalekar, S., Daftardar-Gejji, V., Baleanu, D., Magin, R. (2012). Generalized Fractional Order Bloch Equation with Exteded Delay. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22 (4), 1250071-1250086. Google Scholar Citations, ISSN(print/online): 0218-1274/1793-6551, URL/DOI: http://dx.doi.org/10.1142/S021812741250071X
29)    Bhalekar, S., Daftardar-Gejji, V., Baleanu, D., Magin, R. (2012). Transient chaos in fractional Bloch equations. Computers and Mathematics with Applications, 64 (10), 3367-3376. Google Scholar Citations, ISSN(print/online): 0898-1221/1873-7668, URL/DOI: http://dx.doi.org/10.1016/j.camwa.2012.01.069
30)    Bhalekara, S., Daftardar-Gejjib, V. (2012). Numeric-Analytic Solutions of Dynamical Systems using a New Iterative Method. Journal of Applied Nonlinear Dynamics, 1 (2), 141-158. Google Scholar Citations, ISSN(print/online): 2164-6457/2164-6473, URL/DOI: http://dx.doi.org/10.5890/JAND.2012.05.003
31)    Daftardar-Gejji, V., Bhalekar, S., Gade, P. (2012). Dynamics of fractional-ordered Chen system with delay. Pramana: Journal of Physics, 79 (1), 61-69. Google Scholar Citations, ISSN(print/online): 0304-4289/0973-7111, URL/DOI: http://dx.doi.org/10.1007/s12043-012-0291-8
32)    Baleanu, D., Ranjbar, A., Sadati, R.S.J., Delavari, H., Abdeljawad, T., Gejji, V. (2011). Lyapunov-Krasovskii stability Theorem for fractional systems with delay. Romanian Journal of Physics, 56 (5-6), 636-643. Google Scholar Citations, ISSN(print/online): 1221-146X, URL/DOI: http://www.researchgate.net/profile/S_Sadati/publication/259582083_0636_0643/links/02e7e52cc3318aa434000000.pdf
33)    Bhalekar, S., Daftardar-Gejji, V. (2011). Convergence of the new iterative method. International Journal of Differential Equations, 2011, 989065-989074. Google Scholar Citations, ISSN(print/online): 1687-9643/1687-9651, URL/DOI: http://dx.doi.org/10.1155/2011/989065
34)    Bhalekar, S., Daftardar-Gejji. V. (2011). A predictor-corrector scheme for solving nonlinear delay differential equations of fractional order. Journal of Fractional Calculus and Applications, 1 (5), 1-9. Google Scholar Citations, ISSN(print/online): 2090-584X/2090-5858, URL/DOI: http://fcag-egypt.com/journals/jfca/Vol1_Papers/05_Vol.%201.%20July%202011,%20No.5,%20pp.%201-9..pdf
35)    Bhalekar, S., Daftardar-Gejji, V., Baleanu, D., Magin, R. (2011). Fractional Bloch equation with delay. Computers and Mathematics with Applications, 61 (5), 1355-1365. Google Scholar Citations, ISSN(print/online): 0898-1221/1873-7668, URL/DOI: http://dx.doi.org/10.1016/j.camwa.2010.12.079
36)    Bhalekar, S., Daftardar-Gejji, V. (2011). Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control. International Journal of Differential Equations, 2011, 250763-25077. Google Scholar Citations, ISSN(print/online): 1687-9643/1687-9651, URL/DOI: http://dx.doi.org/10.1155/2011/250763
  

Publications Before 2011


37)    Bhalekar, S., Daftardar-Gejji, V. (2010). Fractional ordered Liu system with time-delay. Communications in Nonlinear Science and Numerical Simulation, 15 (8), 2178-2191. Google Scholar Citations, ISSN(print/online): 1007-5704/1878-7274, URL/DOI: http://dx.doi.org/10.1016/j.cnsns.2009.08.015
38)    Bhalekar, S., Daftardar-Gejji, V. (2010). Synchronization of different fractional order chaotic systems using active control. Communications in Nonlinear Science and Numerical Simulation, 15 (11), 3536-3546. Google Scholar Citations, ISSN(print/online): 1007-5704/1878-7274, URL/DOI: http://dx.doi.org/10.1016/j.cnsns.2009.12.016
39)    Daftardar-Gejji, V., Bhalekar, S. (2010). Chaos in fractional ordered Liu system. Computers and Mathematics with Applications, 59 (3), 1117-1127. Google Scholar Citations, ISSN(print/online): 0898-1221/1873-7668, URL/DOI: http://dx.doi.org/10.1016/j.camwa.2009.07.003
40)    Daftardar-Gejji, V., Bhalekar, S. (2010). Solving fractional boundary value problems with Dirichlet boundary conditions using a new iterative method. Computers and Mathematics with Applications, 59 (5), 1801-1809. Google Scholar Citations, ISSN(print/online): 0898-1221/1873-7668, URL/DOI: http://dx.doi.org/10.1016/j.camwa.2009.08.018
41)    Bhalekar, S., Daftardar‐Gejji, V. (2010). Solving evolution equations using a new iterative method. Numerical Methods for Partial Differential Equations, 26 (4), 906-916. Google Scholar Citations, ISSN(print/online): 0749-159X/1098-2426, URL/DOI: http://dx.doi.org/10.1002/num.20463
42)    Daftardar-Gejji, V., Bhalekar, S. (2009). Solving non linear functional equation using Banach contraction principle. Far East Journal of Applied Mathematics, 303-314. ISSN(print/online): 0972-0960.
43)    Daftardar-Gejji, V., Bhalekar, S. (2008). Boundary Value Problems for Multi-term Fractional Differential Equations. Journal of Mathematical Analysis and Applications, 345 (2), 754-765. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/j.jmaa.2008.04.065
44)    Bhalekar, S., Daftardar-Gejji, V. (2008). New Iterative Method: Application to Partial Differential Equations. Applied Mathematics and Computation, 203 (2), 778-783. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2008.05.071
45)    Daftardar-Gejji, V., Bhalekar, S. (2008). Solving fractional diffusion-wave equations using a new iterative method. Fractional Calculus and Applied Analysis, 11 (2), 193-202. Google Scholar Citations, ISSN(print/online): 1311-0454/1314-2224, URL/DOI: http://hdl.handle.net/10525/1328
46)    Daftardar-Gejji, V., Bhalekar, S. (2008). Solving multi-term linear and non-linear diffusion–wave equations of fractional order by Adomian decomposition method. Applied Mathematics and Computation, 202 (1), 113-120. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2008.01.027
47)    Gejji, V., Dehghan, M., Jafari, H. (2007). An algorithm for solving a system of linear ordinary differential equations. Far East Journal of Applied Mathematics, 29, 445-453. ISSN(print/online): 0972-0960.
48)    Daftardar-Gejji, V., Jafari, H. (2007). Analysis of a system of non-autonomous fractional differential equations involving Caputo derivatives. Journal of Mathematical Analysis and Applications, 328 (2), 1026-1033. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/j.jmaa.2006.06.007
49)    Daftardar-Gejji, V., Jafari, H. (2007). Solving a multi-order fractional differential equation using Adomian decomposition. Applied Mathematics and Computation, 189 (1), 541-548. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2006.11.129
50)    Daftardar‐Gejji, V., Bhalekar, S. (2007). An Iterative method for solving fractional differential equations. Proceedings in Applied Mathematics and Mechanics, 7 (1), 2050017-2050018. Google Scholar Citations, ISSN(print/online): 1617-7061, URL/DOI: http://dx.doi.org/10.1002/pamm.200701001
51)    Jafari, H., Daftardar-Gejji, V. (2006). Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method. Applied Mathematics and Computation, 180 (2), 700-706. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2006.01.007
52)    Daftardar-Gejji, V., Jafari, H. (2006). An iterative method for solving nonlinear functional equations. Journal of Mathematical Analysis and Applications, 316 (2), 753-763. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/j.jmaa.2005.05.009
53)    Daftardar-Gejji, V., Jafari, H. (2006). Boundary value problems for fractional diffusion-wave equation. Australian Journal of Mathematical Analysis and Applications, 3 (1), 8. Google Scholar Citations, ISSN(print/online): 1449-5910, URL/DOI: http://ajmaa.org/cgi-bin/paper.pl?string=v3n1/V3I1P16.tex
54)    Babakhani, A., Daftardar-Gejji, V. (2006). Existence of positive solutions for multi-term non-autonomous fractional differential equations with polynomial coefficients. Electronic Journal of Differential Equations, 2006 (129), 1-12. Google Scholar Citations, ISSN(print/online): 1072-6691/1550-6150, URL/DOI: http://www.mat.ub.edu/EMIS/journals/EJDE/Volumes/Monographs/Volumes/2006/129/babakhani.pdf
55)    Jafari, H., Daftardar-Gejji, V. (2006). Revised Adomian decomposition method for solving systems of ordinary and fractional differential equations. Applied Mathematics and Computation, 181 (1), 598-608. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2005.12.049
56)    Jafari, H., Daftardar-Gejji, V. (2006). Solving a System of Non linear Fractional Differential Equations Using Adomian Decomposition. Journal of Computational and Applied Mathematics, 196 (2), 644-651. Google Scholar Citations, ISSN(print/online): 0377-0427/1879-1778, URL/DOI: http://dx.doi.org/10.1016/j.cam.2005.10.017
57)    Jafari, H., Daftardar-Gejji, V. (2006). Solving linear and non-linear fractional diffusion and wave equations by Adomian decomposition. Applied Mathematics and Computation, 180 (2), 488-497. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2005.12.031
58)    Jafari, H., Daftardar-Gejji, V. (2006). Revised Adomian decomposition method for solving a system of nonlinear equations. Applied Mathematics and Computation, 175 (1), 1-7. Google Scholar Citations, ISSN(print/online): 0096-3003/1873-5649, URL/DOI: http://dx.doi.org/10.1016/j.amc.2005.07.010
59)    Daftardar-Gejji, V., Jafari, H. (2005). Adomian Decomposition: A tool for solving a system of fractional differential equations. Journal of Mathematical Analysis and Applications, 301 (2), 508-518. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/j.jmaa.2004.07.039
60)    Daftardar-Gejji, V. (2005). Positive solutions of a system of non-autonomous fractional differential equations. Journal of Mathematical Analysis and Applications, 302 (1), 56-64. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/j.jmaa.2004.08.007
61)    Babakhani, A., Daftardar-Gejji, V. (2005). Existence of positive solutions for N-term non-autonomous fractional differential equations. Positivity, 9 (2), 193-206. Google Scholar Citations, ISSN(print/online): 1385-1292/1572-9281, URL/DOI: http://dx.doi.org/10.1007/s11117-005-2715-x
62)    Daftardar-Gejji, V., Babakhani, A. (2004). Analysis of a system of fractional differential equations. Journal of Mathematical Analysis and Applications, 293 (2), 511-522. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/j.jmaa.2004.01.013
63)    Babakhani, A., Daftardar-Gejji, V. (2003). Existence of Positive Solutions of Non linear Fractional Differential Equations. Journal of Mathematical Analysis and Applications, 278 (2), 434-442. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/S0022-247X(02)00716-3
64)    Babakhani, A., Daftardar-Gejji, V. (2002). On Calculus of Local Fractional Derivatives. Journal of Mathematical Analysis and Applications, 270 (1), 66-79. Google Scholar Citations, ISSN(print/online): 0022-247X/1096-0813, URL/DOI: http://dx.doi.org/10.1016/S0022-247X(02)00048-3
65)    Daftardar-Gejji, V. (2001). On Conformally Related PP-waves. Pramana: Journal of Physics, 56 (5), 591-596. ISSN(print/online): 0304-4289/0973-7111, URL/DOI: http://dx.doi.org/10.1007/s12043-001-0083-z
66)    Daftardar-Gejji, V. (1998). A Generalisation of Brinkmann's Theorem. General Relativity and Gravitation, 30 (5), 695-700. Google Scholar Citations, ISSN(print/online): 0001-7701/1572-9532, URL/DOI: http://dx.doi.org/10.1023/A:1018849017174
67)    Daftardar-Gejji, V. (1996). Evaluation of Ashtekar variables using stensor. Mathematics and Computers in Simulation, 42 (4), 731-738. ISSN(print/online): 0378-4754/1872-7166, URL/DOI: http://dx.doi.org/10.1016/S0378-4754(96)00046-8
68)    Daftardar, V., Dadhich, N. (1994). Gradient Conformal Killing Vectors and Exact Solutions. General Relativity and Gravitation, 26 (9), 859-868. Google Scholar Citations, ISSN(print/online): 0001-7701/1572-9532, URL/DOI: http://dx.doi.org/10.1007/BF02107144
69)    Giannopoulos, A., Daftardar, V. (1992). Evaluation of Ashtekar Variables for Any Given Metric Using the Algebraic Computing System STENSOR. Classical and Quantum Gravity, 9 (7), 1813-1821. Google Scholar Citations, ISSN(print/online): 0264-9381/1361-6382, URL/DOI: http://dx.doi.org/10.1088/0264-9381/9/7/012
70)    Daftardar, V., Dadhich, N. (1986). Uncertainty Principle and Quantum Fluctuations of the Light Cones in Static Space-Times. International Journal of Modern Physics A, 1 (3), 731-737. Google Scholar Citations, ISSN(print/online): 0217-751X/1793-656X, URL/DOI: http://dx.doi.org/10.1142/S0217751X86000289