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Abdelkrim Salim
Fractional Difference, Differential Equations, and Inclusions
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ISBN: 9780443236013
Author : Abdelkrim Salim
Published: 2024
Publisher: Morgan Kaufmann
Language: English
Format: Paperback / softback
Format: 9.25×7.5
Author : Abdelkrim Salim
Published: 2024
Publisher: Morgan Kaufmann
Language: English
Format: Paperback / softback
Format: 9.25×7.5
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<i>Fractional Difference, Differential Equations, and Inclusions: Analysis and Stability </i>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.
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