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Open AccessMathematics

Existence of solutions of generalized fractional differential equation with nonlocal initial condition

Sandeep P. Bhairat, D. Dhaigude

2018.9.5Mathematica Bohemica

DOI: 10.21136/mb.2018.0135-17

tlooto Summary

A 2018 study investigates the existence of solutions for a generalized fractional differential equation with nonlocal initial condition using fixed point theorems.

Abstract

This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.

Citation format

BHAIRAT, Sandeep P.; DHAIGUDE, D. Existence of solutions of generalized fractional differential equation with nonlocal initial condition. Mathematica Bohemica, 2018.