Fractional difference, differential equations, and inclusions : analysis and stability /

"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 equatio...

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Bibliographic Details
Main Authors: Abbas, Saīd (Author), Ahmad, Bashir (Mathematics professor) (Author), Benchohra, Mouffak (Author), Salim, Abdelkrim (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: Cambridge, MA : Morgan Kaufmann, [2024]
Subjects:
Online Access:Connect to the full text of this electronic book

MARC

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100 1 |a Abbas, Saīd,  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjFc3Gd8Kg3cbYbHDX4tYX 
245 1 0 |a Fractional difference, differential equations, and inclusions :  |b analysis and stability /  |c Saïd Abbas, Bashir Ahmad, Mouffak Benchohra, Abdelkrim Salim. 
264 1 |a Cambridge, MA :  |b Morgan Kaufmann,  |c [2024] 
264 4 |c ©2024 
300 |a 1 online resource (xvi, 379 pages) 
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504 |a Includes bibliographical references and index. 
520 |a "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"--  |c Provided by publisher. 
588 0 |a Print version record. 
650 0 |a Fractional differential equations. 
650 0 |a Differential equations. 
650 6 |a Équations différentielles fractionnaires. 
650 6 |a Équations différentielles. 
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700 1 |a Ahmad, Bashir  |c (Mathematics professor),  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJm4QtdMc4hH6PbRrdcVmd 
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700 1 |a Salim, Abdelkrim,  |e author. 
710 2 |a ScienceDirect (Online service) 
776 0 8 |i Print version:  |a Abbas, Saīd.  |t Fractional difference, differential equations, and inclusions.  |d Cambridge, MA : Morgan Kaufmann, [2024]  |z 0443236011  |w (OCoLC)1389879038 
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880 0 |6 505-00/(S  |a Introduction -- Preliminary background -- Caputo fractional difference equations in Banach spaces -- Caputo fractional difference inclusions -- Ulam stability for fractional difference equations -- Impulsive fractional difference equations -- Coupled fractional difference systems -- Coupled Caputo-Hadamard fractional differential systems in generalized Banach spaces -- Coupled Hilfer-Hadamard fractional differential systems in generalized Banach spaces -- A Filippov's theorem and topological structure of solution sets for fractional q-difference inclusions -- On ψ-Caputo fractional differential equations in Banach spaces -- Ulam stability for ψ-Caputo fractional differential equations and systems -- Monotone iterative technique for ψ-Caputo fractional differential equations. 
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