Description

Book Synopsis

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

Implicit Fractional Differential and Integral Equations: Existence and Stability

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    A Hardback by Said Abbas, Mouffak Benchohra, John R. Graef

    15 in stock

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      View other formats and editions of Implicit Fractional Differential and Integral Equations: Existence and Stability by Said Abbas

      Publisher: De Gruyter
      Publication Date: Publication Date: 05/02/2018
      ISBN13: 9783110553130, 978-3110553130
      ISBN10:

      Description

      Book Synopsis

      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

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