Benchohra, Mouffak.
Fractional Differential Equations New Advancements for Generalized Fractional Derivatives / [electronic resource] : by Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg, Abdelkrim Salim. - 1st ed. 2023. - XI, 190 p. 1 illus. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
Introduction -- Preliminary Background -- Hybrid Fractional Differential Equations -- Fractional Differential Equations with Retardation and Anticipation -- Impulsive Fractional Differential Equations with Retardation and Anticipation -- Coupled Systems for Fractional Differential Equations.
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
9783031348778
10.1007/978-3-031-34877-8 doi
Differential equations.
Mathematics.
Mathematical analysis.
Integral equations.
Difference equations.
Functional equations.
Functional analysis.
Differential Equations.
Mathematics.
Analysis.
Integral Equations.
Difference and Functional Equations.
Functional Analysis.
QA370-380
515.35
Fractional Differential Equations New Advancements for Generalized Fractional Derivatives / [electronic resource] : by Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg, Abdelkrim Salim. - 1st ed. 2023. - XI, 190 p. 1 illus. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .
Introduction -- Preliminary Background -- Hybrid Fractional Differential Equations -- Fractional Differential Equations with Retardation and Anticipation -- Impulsive Fractional Differential Equations with Retardation and Anticipation -- Coupled Systems for Fractional Differential Equations.
This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.
9783031348778
10.1007/978-3-031-34877-8 doi
Differential equations.
Mathematics.
Mathematical analysis.
Integral equations.
Difference equations.
Functional equations.
Functional analysis.
Differential Equations.
Mathematics.
Analysis.
Integral Equations.
Difference and Functional Equations.
Functional Analysis.
QA370-380
515.35