Picard iterative approach for $\psi-$Hilfer fractional differential problem

Document Type : Research Article

Authors

1 Department of Mathematics, Dr Babasaheb Ambedkar Marathwada University, Aurangabad, India

2 Department of Mathematics, Government Vidarbh Institute of Science & Humanities, Amaravati, (M.S) India

Abstract

 In present work, we discuss local existance and uniqueness of solution to the $\psi-$Hilfer fractional differential problem. By using the Picard successive approximations, we construct a computable iterative scheme uniformly approximating solution. Two illustrative examples are given to support our findings.

Main Subjects

Journal of Mathematical Modeling
Volume 11, Issue 3
October 2023
Pages 573-585

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