Local existence and uniqueness of solutions for fractional differential problem with Hilfer-Hadamard fractional derivative

2017/06/01 by D. B. Dhaigude, Dhaigude, D B, Sandeep P. Bhairat +1
Mathematics · #26A33 #26D10 #34A08 #40A30 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1706.00161

openalex publication_date 2017/06/01 · openalex created_date 2017/06/09 · openalex updated_date 2026/07/28

Abstract

This paper deals with the local existence and uniqueness results for the solution of fractional differential equations with Hilfer-Hadamrd fractional derivative. Using Picard's approximations and generalizing the restrictive conditions imposed on nonlinear function, the iterative scheme for uniformly approximating the solution is constructed.

Citations

• Existence and continuation of solutions of Hilfer fractional differential equations

Related

• On existence and approximation of solution of nonlinear Hilfer fractional differential equation
• Existence and Uniqueness of Boundary Value Problems for Hilfer-Hadamard-Type Fractional Differential Equations
• Existence and continuation of solutions of Hilfer fractional differential equations
• Existence and Uniqueness of Nonlocal Boundary Conditions for Hilfer-Hadamard-Type Fractional Differential Equations
• Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations