Fractional Difference, Differential Equations, and Inclusions Analysis and Stability
Auteurs : Abbas Saïd, Ahmad Bashir, Benchohra Mouffak, Salim Abdelkrim
2. Caputo Fractional Difference Equations in Banach Spaces
3. Caputo Fractional Difference Inclusions
4. Ulam Stability for Fractional Difference Equations
5. Impulsive Fractional Difference Equations
6. Coupled Fractional Difference Systems
7. Coupled Caputo-Hadamard Fractional Differential Systems in Generalized Banach Spaces
8. Coupled Hilfer-Hadamard Fractional Differential Systems in Generalized Banach Spaces
9. Oscillation and Nonoscillation Results for Fractional q-Difference Equations and Inclusions
10. A Filippov's Theorem and Topological Structure of Solution Sets for Fractional q-Difference Inclusions
11. On ? -Caputo Fractional Differential Equations in Banach Spaces
12. Ulam Stability for ? -Caputo Fractional Differential Equations and Systems
13. Monotone Iterative Technique for psi-Caputo Fractional Differential Equations
Dr. Bashir Ahmad is a Full Professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. He received his Ph.D. from Quaid-i-Azam University, Islamabad, Pakistan. His research interest includes approximate/numerical methods for nonlinear problems involving a variety of differential equations, existence theory of fractional differential equations, stability and instability properties of dynamical systems, impulsive systems, control theory, mathematical biology, and fluid mechanics. He was honored with “Best Researcher of King Abdulaziz University award in 2009. He is the Managing Editor of Bulletin of Mathematical Sciences, Editor-in-Chief of the journal Fractional Differential Calculus, and member of editorial boards of several journals. He has been “Highly-Cited Researcher in the category of Mathematics (Web of Science/Clarivate Analytics) from 2014 to 2019.
Dr. Mouffak Benchohra is a Full Professor in the Department of Mathematics, Djillali Liabes University of Sidi Bel Abbes. Dr. Benchohra received his MSc in Nonlinear Analysis from Tlemcen University, Algeria, and his PhD in Mathematics from Djillali Liabes University, Sidi Bel Abbes, Algeria. His r
- Introduces notation, definitions, and foundational concepts of fractional q-calculus
- Presents existence and attractivity results for a class of implicit fractional q-difference equations in Banach and Fréchet spaces
- Focuses on the study of a class of coupled systems of Hilfer and Hilfer-Hadamard fractional differential equations
Date de parution : 01-2024
Ouvrage de 300 p.
19x23.4 cm
Thèmes de Fractional Difference, Differential Equations, and... :
Mots-clés :
Functional differential equation; inclusion; left-sided mixed Pettis Riemann-Liouville integral of fractional order; Hadamard fractional derivative; Hilfer fractional derivative; Hadamard-Stieltjes; fixed point; weak solution; upper solution; lower solution; random solution; implicit; attractivity; Ulam stability; measure of noncompactness; measure of weak noncompactness; successive approximations; not-instantaneous impulse; maxima; retarded and advanced arguments