Document Details

Document Type : Thesis 
Document Title :
A New Class of Anti-Periodic Fractional Boundary Value Problems
أنواع جديدة من مسائل القيم الحدية الكسرية غير الدورية
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : This thesis deals with some boundary value problems of fractional differential equations of order q ϵ (2,3] with anti-periodic fractional boundary conditions. In Chapter 2, we show the existence of solutions for a fully anti-periodic fractional boundary value problem with the nonlinearity dependent upon the unknown function only by means of some fixed point theorems. The problem discussed in this chapter is compared with a fractional boundary value problem having classical anti-periodic boundary conditions and a useful relationship between the solutions of these problems is presented. These results have been published in the Journal: Abstract and Applied Analysis [On a new class of anti-periodic fractional boundary value problems, Abstract and Applied Analysis, 2013 (2013), Article ID 606454]. In the second problem, we allow the nonlinear function in the problem considered in Chapter 2 to depend on the unknown function together with its fractional derivative of order 0<α<1and establish an existence result for this problem by applying Schauder's fixed point theorem in Chapter 3. Finally, in Chapter 4, we discuss the uniqueness of solutions for the problem considered in Chapter 3 and for a more general anti-periodic fractional boundary value problem with the nonlinearity containing the unknown function together with its two lower order fractional derivatives of order α and α+1 by using Banach's contraction mapping principle. Some preliminary facts about fractional calculus are outlined in Chapter 1. 
Supervisor : prof.Ahmed Alsaedi 
Thesis Type : Master Thesis 
Publishing Year : 1434 AH
2013 AD 
Co-Supervisor : prof. Bashir Ahmad 
Added Date : Wednesday, July 31, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
ناديه محمد فارعFarea, Nadya MohammedResearcherMaster 

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