Document Details

Document Type : Thesis 
Document Title :
FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL MULTI-POINT AND MULTI-STRIP CONDITIONS
معادلات تفاضلية كسرية مع شروط متعددة النقاط و الفترات غير محلية
 
Subject : faculty of science 
Document Language : Arabic 
Abstract : In this thesis, we have developed the existence theory for Caputo fractional differential equations supplemented with different kinds of integro-multipoint boundary conditions. We also study the existence of solutions for a nonlinear Langevin equation involving Caputo fractional derivatives of different orders and Riemann-Liouville fractional integral complemented with nonlocal multipoint and multi-strip boundary conditions. In addition, we introduce and investigate integral-multipoint boundary values problems of Caputo differential equations with mixed nonlinearities (neutral case). We make use of standard fixed point theorems for single-valued and multivalued maps to establish the desired results for the given problems. The results presented in this thesis are new and specialize to some new and known results. The following articles have been published from the content of this thesis: 1. Arbitrary order fractional differential equations and inclusions with new integro- multipoint boundary conditions, Advances in Difference Equations, 2018:395 (2018), 19 pages. 2. On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders, Advances in Difference Equations, 2019:57 (2019), 14 pages. 3. Fractional differential equations involving mixed nonlinearities with nonlocal multi- point and Riemann-Stieltjes integral-multi-strip conditions, Fractal and Fractional, 3, 34 (2019), 16 pages. 
Supervisor : Prof. Ahmed Alsaedi 
Thesis Type : Master Thesis 
Publishing Year : 1441 AH
2020 AD 
Co-Supervisor : Prof. Bashir Ahmad 
Added Date : Tuesday, February 11, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
ساره سالم اللهيبيAllehaibi, Sara SalemResearcherMaster 

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