Existence and Uniqueness Results of Coupled Fractional-Order Differential Systems Involving Riemann–Liouville Derivative in the Space <inline-formula><math display="inline"><semantics><mrow><msubsup><mi>W</mi><mrow><msup><mi>a</mi><mo>+</mo></msup></mrow><mrow><msub><mi>γ</mi><mn>1</mn></msub><mo>,</mo><mn>1</mn></mrow></msubsup><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></mrow><mo>×</mo><msubsup><mi>W</mi><mrow><msup><mi>a</mi><mo>+</mo></msup></mrow><mrow><msub><mi>γ</mi><mn>2</mn></msub><mo>,</mo><mn>1</mn></mrow></msubsup><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> with Perov’s Fixed Point Theorem

This paper is devoted to studying the existence and uniqueness of a system of coupled fractional differential equations involving a Riemann–Liouville derivative in the Cartesian product of fractional Sobolev spaces <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" d...

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Bibliographic Details

Main Authors:	Noura Laksaci, Ahmed Boudaoui, Kamaleldin Abodayeh, Wasfi Shatanawi, Taqi A. M. Shatnawi
Format:	Article
Language:	English
Published:	MDPI AG 2021-11-01
Series:	Fractal and Fractional
Subjects:	coupled system fractional differential equations Riemann–Liouville derivative generalized Banach space fixed point theorems convergent to zero matrix
Online Access:	https://www.mdpi.com/2504-3110/5/4/217