EXISTENCE OF SOLUTIONS FOR A NONLINEAR NONLOCAL HYBRID FUNCTIONAL FRACTIONAL DIFFERENTIAL EQUATION

Darshana Devi; Jayanta Borah

doi:10.1216/rmj.2023.53.1459

Abstract

We consider a Caputo-type hybrid functional fractional differential equation of order $1 < q \le 2$ with nonlocal boundary conditions. By using the fixed-point theorem in Banach algebra due to Dhage (1988), we study the existence of the solutions.

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Darshana Devi. Jayanta Borah. "EXISTENCE OF SOLUTIONS FOR A NONLINEAR NONLOCAL HYBRID FUNCTIONAL FRACTIONAL DIFFERENTIAL EQUATION." Rocky Mountain J. Math. 53 (5) 1459 - 1467, October 2023. https://doi.org/10.1216/rmj.2023.53.1459

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Received: 5 July 2022; Revised: 7 October 2022; Accepted: 7 October 2022; Published: October 2023

First available in Project Euclid: 19 September 2023

MathSciNet: MR4643813

Digital Object Identifier: 10.1216/rmj.2023.53.1459

Subjects:

Primary: 34A08 , 34A38 , 34B18 , 34G20

Keywords: hybrid fixed-point theorem , hybrid fractional differential equation , nonlocal boundary conditions , solution existence

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