On existence and approximation of solution of nonlinear Hilfer fractional differential equation

Abstract

This paper gives the existence and uniqueness results for solution of fractional differential equations with Hilfer derivative. Using some new techniques and generalizing the restrictive conditions imposed on considered function, the iterative scheme for uniformly approximating the solution is established.

References in corpus (1)

• Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations

Cited by in corpus (5)

• Existence of solution for Hilfer fractional differential equations with boundary value conditions
• On Ulam type stability for nonlinear implicit fractional differential equations
• Local existence and uniqueness of solutions for fractional differential problem with Hilfer-Hadamard fractional derivative
• Existence of solution for Hilfer fractional differential problem with nonlocal boundary condition
• Non-existence of Global Solutions for a Generalized Fractional Differential Problem