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December 2020 Existence results for a nonlinear coupled system involving both Caputo and Riemann–Liouville generalized fractional derivatives and coupled integral boundary conditions
Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi
Rocky Mountain J. Math. 50(6): 1901-1922 (December 2020). DOI: 10.1216/rmj.2020.50.1901

Abstract

In this paper, we investigate the existence of solutions for a nonlinear fractional-order coupled system involving both Caputo and Riemann–Liouville generalized fractional derivatives of different orders equipped with coupled integral boundary conditions. We transform the given system into an equivalent fixed point problem and solve it by applying the standard fixed point theorems. Examples are constructed for the illustration of the obtained results.

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Bashir Ahmad. Madeaha Alghanmi. Ahmed Alsaedi. "Existence results for a nonlinear coupled system involving both Caputo and Riemann–Liouville generalized fractional derivatives and coupled integral boundary conditions." Rocky Mountain J. Math. 50 (6) 1901 - 1922, December 2020. https://doi.org/10.1216/rmj.2020.50.1901

Information

Received: 9 May 2020; Revised: 1 June 2020; Accepted: 2 June 2020; Published: December 2020
First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.1901

Subjects:
Primary: 26A33, 34A08
Secondary: 34B15

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 6 • December 2020
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