Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology

Hasanen A. Hammad; Watcharaporn Chaolamjiak; Hasanen A. Hammad; Watcharaporn Chaolamjiak

doi:10.3934/math.2021774

AIMS Mathematics

2021, Volume 6, Issue 12: 13370-13391. doi: 10.3934/math.2021774

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Research article

Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology

Hasanen A. Hammad ¹,
Watcharaporn Chaolamjiak ^{2
,
,}

1.
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
2.
School of Science, University of Phayao, Phayao 56000, Thailand

Received: 04 April 2021 Accepted: 07 September 2021 Published: 17 September 2021
MSC : 34B15, 54H10, 54H25

This manuscript was originally built to establish some coupled common fixed point results for rational contractive mapping in the framework of $ b $-metric spaces. Thereafter, the existence and uniqueness of the boundary value problem for a singular coupled fractional differential equation of order $ \nu $ via coupled fixed point techniques are discussed. At the last, some supportive examples to illustrate the theoretical results are presented.
- coupled fractional differential equations,
- coupled fixed point techniques,
- $ b $-metric spaces,
- rational contractive mappings,
- Green's functions
Citation: Hasanen A. Hammad, Watcharaporn Chaolamjiak. Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology[J]. AIMS Mathematics, 2021, 6(12): 13370-13391. doi: 10.3934/math.2021774

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Abstract

This manuscript was originally built to establish some coupled common fixed point results for rational contractive mapping in the framework of $ b $-metric spaces. Thereafter, the existence and uniqueness of the boundary value problem for a singular coupled fractional differential equation of order $ \nu $ via coupled fixed point techniques are discussed. At the last, some supportive examples to illustrate the theoretical results are presented.

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