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Abbas, Saïd / Benchohra, Mouffak / Graef, John R. / Henderson, Johnny

Implicit Fractional Differential and Integral Equations

Existence and Stability

Series:De Gruyter Series in Nonlinear Analysis and Applications 26

    119,95 € / $137.99 / £109.00*

    eBook (EPUB)
    Publication Date:
    February 2018
    ISBN
    978-3-11-055318-5
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    Overview

    • A detailed and mathematically rigorous study of implicit fractional differential and integral equations
    • With a focus on the existence and stability of solutions
    • Of interest to researchers and graduate students working in fractional calculus

    Aims and Scope

    This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus.

    Contents
    Preliminary Background
    Nonlinear Implicit Fractional Differential Equations
    Impulsive Nonlinear Implicit Fractional Differential Equations
    Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations
    Boundary Value Problems for Impulsive NIFDE
    Integrable Solutions for Implicit Fractional Differential Equations
    Partial Hadamard Fractional Integral Equations and Inclusions
    Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions
    Hadamard–Stieltjes Fractional Integral Equations
    Ulam Stabilities for Random Hadamard Fractional Integral Equations

    Details

    xxiii, 336 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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    S. Abbas, U. Saïda, Algeria; M. Benchohra, U. Sidi Bel-Abbès, Algeria; J. R. Graef, U. Tennessee, USA; J. Henderson, Baylor U., USA.

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