Document Details

Document Type : Thesis 
Document Title :
Boundary Value Problems Of Multi-Term Fractional Differential Equations
مسائل القيم الحدية للمعادلات التفاضلية الكسرية متعددة الحدود
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this thesis, we have studied some new boundary value problems of multi-term fractional differential equations, inclusions and coupled systems of fractional differential equations supplemented with several kinds of nonlocal boundary conditions. In Chapter 2, we investigated the existence and uniqueness of solutions for sequential fractional differential equations of arbitrary order equipped with nonlocal three-point boundary conditions on an arbitrary domain. The case of non-homogenous nonlocal three-point boundary conditions is also discussed. Chapter 3 studies the problem consisting of a multi-term fractional differential equation and multi-point boundary conditions. Chapter 4 is concerned with the existence of solutions for multi-term fractional-order boundary-value problems with nonlocal integral boundary conditions. In Chapter 5, we develop the existence theory for a multi-point and multi-strip boundary value problem of multi-term nonlinear fractional differential equations. Chapter 6 deals with some existence results for a boundary value problem of multi-term fractional differential inclusions involving convex and nonconvex multivalued maps equipped with three-point nonlocal boundary conditions. In the last Chapter, we introduce a coupled system of multi-term fractional differential equations and solve it subject to nonlocal coupled boundary conditions. The contents of Chapter 2, 3, 4 and 5 have appeared in ISI Journals, while the work presented in Chapter 6 has been accepted for publication in a SCOPUS Journal. The results of Chapter 7 are “Under Review” in an ISI Journal. The research articles from the work accomplished in this thesis are listed in the list of publications on page x. The background materials from analysis and fractional calculus related to our work is outlined in Chapter 1. 
Supervisor : Prof. Ahmed Alsaedi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1440 AH
2019 AD 
Co-Supervisor : Prof. Sotiris Ntouyas 
Added Date : Thursday, July 4, 2019 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
نجلاء محمد الغامديAlghamdi, Najla MohammedResearcherDoctorate 

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