Document Details

Document Type : Thesis 
Document Title :
Fractional differential equations with Riemann-Stieltjes type boundary conditions
معادلات تفاضلية كسرية مع شروط حدية من نوع ريمان سيلتيس
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : This thesis studies some new boundary value problems of fractional differential equations and coupled fractional-order systems supplemented with Riemann-Stieltjes and some other kinds of nonlocal boundary conditions. As a first problem, we discuss the existence and uniqueness of solutions for a Caputo type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain. In the second problem, a coupled system of Caputo fractional differential equations supplemented with coupled non-conjugate Riemann-Stieltjes type integro-multipoint boundary conditions is investigated. The third problem deals with a fractional integro-differential equation involving Caputo derivatives of different orders equipped with integro-multipoint boundary conditions. In the fourth problem, we develop the existence theory for neutral fractional order coupled systems containing mixed Caputo and Riemann-Liouville sequential fractional derivatives, complemented with nonlocal multipoint and Riemann-Stieltjes integral multi-strip conditions. In the fifth problem, we introduce a new concept of dual anti-periodic boundary conditions and solve a fractional integro-differential equation equipped with these conditions. The last problem is concerned with the existence and uniqueness of solutions for a nonlinear multi-term Caputo fractional differential equation subject to Riemann-Stieltjes integro-multipoint boundary conditions. The results presented in this thesis have been published or accepted for publication in SCI journals. The details of the articles can be found on page x. 
Supervisor : Prof. Ahmed Alsaedi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2020 AD 
Co-Supervisor : Prof. Bashir Ahmad 
Added Date : Saturday, May 30, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
يمنه صالح الرويليAlruwaily, Ymnah SalahResearcherDoctorate 

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