Implicit Fractional Differential and Integral Equations: Existence and Stability (De Gruyter Series in Nonlinear Analysis & Applications)

by Said Abbas, Mouffak Benchohra, John R Graef, and Johnny Henderson

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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
  • ISBN10 311055318X
  • ISBN13 9783110553185
  • Publish Date 5 February 2018
  • Publish Status Active
  • Publish Country DE
  • Imprint De Gruyter