Document Details

Document Type : Thesis 
Document Title :
Existence Results for Nonlocal Hilfer-type Boundary Value Problems
نتائج وجود مسائل قيم حدية من نوع هيلفر غير محلية
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this thesis, we have studied some nonlocal nonlinear boundary value problems involving Hilfer fractional derivative operators. As a first problem, we investigated the existence and uniqueness of solutions for a nonlinear Hilfer-type boundary value problem with mixed nonlinearities equipped with integral-multipoint boundary conditions. In the second problem, we extended our study of the first problem to its multivalued variant. The third problem was devoted to the investigation of a nonlinear coupled system of Hilfer fractional differential equations involving Riemann-Liouville mixed operators with nonlocal integro-multipoint boundary conditions. In the last problem, we discussed the existence and Ulam-Hyers stability of solutions for a coupled system of sequential Hilfer fractional differential equations with integro-multistrip-multipoint boundary conditions. The work accomplished in this thesis produced three research articles published in ISI journals: AIMS MATHEMATICS, QUALITATIVE THEORY OF DYNAMICAL SYSTEM, and FILOMAT. The study of the problems considered in this thesis was based on the tools of modern analysis such as Banach contraction mapping principle, Krasnosel’skii’s fixed point theorem, Leray-Schauder nonlinear alternative, and some fixed point theorem for multivalued maps. 
Supervisor : Prof. Ahmed Alsaedi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1445 AH
2023 AD 
Co-Supervisor : Prof. Bashir Ahmad 
Added Date : Sunday, October 29, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أفراح عبيدالله السلميAlsulami, Afrah ObaidullahResearcherDoctorate 

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