Main Page
Deanship
The Dean
Dean's Word
Curriculum Vitae
Contact the Dean
Vision and Mission
Organizational Structure
Vice- Deanship
Vice- Dean
KAU Graduate Studies
Research Services & Courses
Research Services Unit
Important Research for Society
Deanship's Services
FAQs
Research
Staff Directory
Files
Favorite Websites
Deanship Access Map
Graduate Studies Awards
Deanship's Staff
Staff Directory
Files
Researches
Contact us
عربي
English
About
Admission
Academic
Research and Innovations
University Life
E-Services
Search
Deanship of Graduate Studies
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 Type
Dr Grade
Email
أفراح عبيدالله السلمي
Alsulami, Afrah Obaidullah
Researcher
Doctorate
Files
File Name
Type
Description
49443.pdf
pdf
Back To Researches Page