Boundary Value Problems for a Coupled System of Hadamard-type Fractional Differential Equations

In this paper, we derive the equivalent fractional integral system to the nonlinear fractional differential system involving Hadamard fractional derivative subject to coupled boundary conditions. The existence and uniqueness results of solution for proposed system have been obtained. Moreover, we gi...

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Published inIAENG international journal of applied mathematics Vol. 51; no. 1; pp. 1 - 10
Main Authors Al-mayyahi, Suad Y, Abdo, Mohammed S, Redhwan, Saleh S, Abood, Basim N
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 01.03.2021
Subjects
Boundary conditions
Boundary value problems
Derivatives
Differential equations
Fixed points (mathematics)
Fractional calculus
Integrals
Nonlinear analysis
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Summary:In this paper, we derive the equivalent fractional integral system to the nonlinear fractional differential system involving Hadamard fractional derivative subject to coupled boundary conditions. The existence and uniqueness results of solution for proposed system have been obtained. Moreover, we give some sufficient conditions to guarantee that the solutions to such system are Ulam-Hyers stable and Ulam-Hyers-Rassias stable. Our investigations based on the nonlinear analysis and fixed point theorems of Banach and Schaefer. To justify our results, we provide pertinent illustrative examples.
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ISSN:1992-9978
1992-9986