Document Details

Document Type : Thesis 
Document Title :
A STUDY OF COUPLED FRACTIONAL DIFFERENTIAL SYSTEMS
دراسة الأنظمة التفاضلية الكسرية المزدوجة
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this thesis, some new coupled fractional differential systems equipped with different kinds of boundary conditions are studied. As a first problem, we discuss the existence and uniqueness of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of nonlocal multi-point integral boundary conditions on an arbitrary domain. We also describe and investigate the case of nonlinearities depending on the cross-variables (unknown functions). In the second problem, we investigate a new class of coupled systems of mixed-order fractional differential equations equipped with nonlocal multi-point coupled boundary conditions on an arbitrary domains. The last problem is concerned with the existence and uniqueness of solutions for a coupled system of mixed-order three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. This problem is of more general nature in the given setting and contributes significantly to the existing literature on the topic. The work accomplished in this thesis has been published in form of three articles in the SCI journals. The details of these publications can be found on page vii 
Supervisor : Dr. Ahmed Al-Saedi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1443 AH
2022 AD 
Added Date : Thursday, February 2, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
سها زهي حمدانHamdan, Suha ZuhairResearcherDoctorate 

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 48952.pdf pdf 

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