Document Details

Document Type : Thesis 
Document Title :
INDUSTRY IN REIGN OF KING KHALID BIN ABDULAZIZ AL SAUD 1395-14022H / 1975-1982M HISTORICAL STUDY
الصناعة في عهد الملك خالد بن عبدالعزيز آل سعود من الفترة 1395-14022هـ/1975-1982م دراسة تاريخية
 
Subject : Faculty of Arts and Humanities 
Document Language : Arabic 
Abstract : This thesis has introduced some new boundary value problems for Langevin fractional differential equations. It contains coupled systems of fractional Langevin differential equations supplemented with several kinds of non-local boundary conditions, and using non-compactness measures for hybrid fractional Langevin differential equations and others. In Chapter 2, we have investigated the coupled system of two fractional Langevin differential equation forms. This coupled system has been restricted by new boundary value conditions, consisting of Atangana-Baleanu, and Katugampola fractional integral. Proof of existence has been applied in both linear and non-linear cases. In the third chapter, we have studied the existence and uniqueness results of solutions for anti-periodic fractional Langevin equation under a class of nonlocal boundary conditions including the usual derivative. The fourth chapter concerns the existence of solutions to hybrid fractional Langevin differential equations of fractional Caputo under boundary value conditions. In the last one, we have studied the existence and uniqueness of solutions for Caputo Langevin fractional differential equations of arbitrary order equipped with nonlocal multipoint and integral boundary conditions. We also used the Caputo boundary condition case. In this chapter, non-linear case has been studied in the relevant problem by using different ways to prove its existence. The contents of Chapters 1 have been published, while the results of Chapters 3 and 5 have been accepted. The chapter 3 has been accepted in the 11th scientific forum for students of king Abdulaziz university. The background definitions from analysis and fractional calculus have been supported for my thesis in detail in Chapter 1. 
Supervisor : Prof. Ahmed Salem El-sharif 
Thesis Type : Master Thesis 
Publishing Year : 1441 AH
2020 AD 
Co-Supervisor : Prof. Mohmmad Alhouzali 
Added Date : Thursday, June 25, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمد يوسف النقاءAlnegga, Mohammad YousufResearcherMaster 

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