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

Bhairat, Sandeep P. ; Dhaigude, Dnyanoba-Bhaurao

Mathematica Bohemica, Tome 144 (2019) no. 2, pp. 203-220

Abstract (VO)

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.

Détail

DOI : 10.21136/MB.2018.0135-17

Classification : 26A33, 34A08, 34A12, 47H10
Keywords: fractional derivative; fractional integral; existence of solution; fractional differential equation; fixed point theorem

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