Fractional Differential Equations And Inclusions: Classical And Advanced Topics
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A01=Jamal Eddine Lazreg
A01=Juan J Nieto
A01=Mouffak Benchohra
A01=Said Abbas
A01=Yong Zhou
Asymptotic Stability
Attractivity
Author_Jamal Eddine Lazreg
Author_Juan J Nieto
Author_Mouffak Benchohra
Author_Said Abbas
Author_Yong Zhou
Caputo-Hadamard Fractional Differential Equations
CaputoAcAEURA"Hadamard Fractional Differential Equations
Caputo–Hadamard Fractional Differential Equations
Category=PBKJ
Dynamics
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existence
Fixed Point Theorems
Fractional Calculus
Global Stability Ulam Stability
Hadamard and Hilfer Fractional Differential Equations
Hadamard Pettis Fractional Integral Equations
Hilfer Fractional Differential Equations
Hilfer Fractional Differential Inclusions
Hilfer Pettis Fractional Differential Equations
Hilfer-Hadamard Fractional Differential Equations
Hilfer-Hadamard Fractional Differential Inclusions
HilferAcAEURA"Hadamard Fractional Differential Equations
HilferAcAEURA"Hadamard Fractional Differential Inclusions
Hilfer–Hadamard Fractional Differential Equations
Hilfer–Hadamard Fractional Differential Inclusions
Implicit Hadamard Pettis Fractional Differential Equations
Implicit Hilfer Pettis Fractional Differential Equations
Instantaneous Impulses
Measure of Noncompactness
Measure of Weak
Multi-Valued Analysis
Noncompactness
Random Solutions
Stability
Successive Approximations
Uniqueness
Weak Solutions
Product details
- ISBN 9789811261251
- Publication Date: 24 Feb 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This monograph is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for various classes of functional differential equations or inclusions involving the Hadamard or Hilfer fractional derivative. Some equations present delay which may be finite, infinite, or state-dependent. Others are subject to impulsive effect which may be fixed or non-instantaneous.Readers will find the book self-contained and unified in presentation. It provides the necessary background material required to go further into the subject and explores the rich research literature in detail. Each chapter concludes with a section devoted to notes and bibliographical remarks and all abstract results are illustrated by examples. The tools used include many classical and modern nonlinear analysis methods such as fixed-point theorems, as well as some notions of Ulam stability, attractivity and the measure of non-compactness as well as the measure of weak noncompactness. It is useful for researchers and graduate students for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and all other applied sciences.
