BOUNDARY VALUE PROBLEM FOR FRACTIONAL q-DIFFERENCE EQUATIONS IN BANACH SPACE

Nadia Allouch; Samira Hamani

doi:10.1216/rmj.2023.53.1001

Abstract

We study the existence of solutions for a class of boundary value problem for fractional $q$ -difference equations involving $q$ -derivative of the Caputo sense. The main results are proved by applying Mönch’s fixed-point theorem associated with the technique of measure of noncompactness. Further, an example is presented to illustrate the main results.

Citation

Download Citation

Nadia Allouch. Samira Hamani. "BOUNDARY VALUE PROBLEM FOR FRACTIONAL $q$ -DIFFERENCE EQUATIONS IN BANACH SPACE." Rocky Mountain J. Math. 53 (4) 1001 - 1010, August 2023. https://doi.org/10.1216/rmj.2023.53.1001

Information

Received: 20 July 2022; Revised: 24 September 2022; Accepted: 24 September 2022; Published: August 2023

First available in Project Euclid: 30 August 2023

MathSciNet: MR4634986

Digital Object Identifier: 10.1216/rmj.2023.53.1001

Subjects:

Primary: 26A33 , 39A13

Keywords: Caputo fractional q-difference derivative , fractional q-difference equations , measure of noncompactness , Mönch’s fixed-point theorem

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS