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Implicit Fractional Differential and Integral Equations

eBook - Existence and Stability, de Gruyter Series in Nonlinear Analysis and Applications
Henderson, Johnny/Benchohra, Mouffak/Abbas, Saïd et al
DE GRUYTER
ISBN/EAN: 9783110553185
Umbreit-Nr.: 8488239

Sprache: Englisch
Umfang: 359 S.
Format in cm:
Einband: Keine Angabe

Erschienen am 05.02.2018
Auflage: 1/2018


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Format: EPUB
DRM: Adobe DRM
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  • Zusatztext
    • <p>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.</p><p></p><p><strong>Contents</strong><br>Preliminary Background<br>Nonlinear Implicit Fractional Differential Equations<br>Impulsive Nonlinear Implicit Fractional Differential Equations<br>Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations<br>Boundary Value Problems for Impulsive NIFDE<br>Integrable Solutions for Implicit Fractional Differential Equations<br>Partial Hadamard Fractional Integral Equations and Inclusions<br>Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions<br>HadamardStieltjes Fractional Integral Equations<br>Ulam Stabilities for Random Hadamard Fractional Integral Equations</p>
  • Kurztext
    • 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. ContentsPreliminary 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
  • Autorenportrait
    • <p><strong>S. Abbas</strong>, U. Saïda, Algeria;<strong>M. Benchohra</strong>, U. Sidi Bel-Abbès, Algeria;<strong>J. R. Graef</strong>, U. Tennessee, USA;<strong>J. Henderson</strong>, Baylor U., USA.</p>