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Fractional Difference, Differential Equations, and Inclusions

Saïd Abbas, Bashir Ahmad, Mouffak Benchohra, Abdelkrim Salim
Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for several classes of functional fractional difference equations and inclusions. Covered equations include delay effects of finite, infinite, or state-dependent nature, and tools used to establish the existence results for the proposed problems include fixed point theorems, densifiability techniques, monotone iterative technique, notions of Ulam stability, attractivity and the measure of non-compactness, as well as the measure of weak noncompactness. The tools of fractional calculus are found to be of great utility in improving the mathematical modeling of many natural phenomena and processes occurring in the areas of engineering, social, natural, and biomedical sciences. All abstract results in the book are illustrated by examples in applied mathematics, engineering, biomedical, and other applied sciences.
Autor: Abbas, Saïd Ahmad, Bashir Benchohra, Mouffak Salim, Abdelkrim
EAN: 9780443236013
Sprache: Englisch
Seitenzahl: 300
Produktart: kartoniert, broschiert
Verlag: Elsevier Science
Veröffentlichungsdatum: 16.01.2024
Untertitel: Analysis and Stability
Schlagworte: Computers - Accounting Packages
Größe: 191 × 235
Gewicht: 820 g