E-raamat: Implicit Fractional Differential and Integral Equations: Existence and Stability

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.

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 BackgroundNonlinear Implicit Fractional Differential EquationsImpulsive Nonlinear Implicit Fractional Differential EquationsBoundary Value Problems for Nonlinear Implicit Fractional Differential EquationsBoundary Value Problems for Impulsive NIFDEIntegrable Solutions for Implicit Fractional Differential EquationsPartial Hadamard Fractional Integral Equations and InclusionsStability Results for Partial Hadamard Fractional Integral Equations and InclusionsHadamard-Stieltjes Fractional Integral Equ

ationsUlam Stabilities for Random Hadamard Fractional Integral Equations