Recent Investigations of Differential and Fractional Equations and Inclusions

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Mathematics and Science; Research and information: general; alpha-model; asymptotically constant matrices; Banach spaces; Caputo derivative; Clark's theorem; complete metric space; delay; dissipativity; double fuzzy Sumudu transform; eigenvalues method; essential maps; existence; exponential dichotomy; fixed point; fixed point theorem; Fourier-Laplace transforms; fourth-order p-Laplacian differential equations; fractional derivative; fractional differential equations; fractional Navier-Stokes equations; fractional time derivative; generalized comparison principle; homoclinic solutions; homotopy; integral solutions; limit solutions; lower and upper solutions; m-dissipative operators; minimization theorem; modified fractional Halanay inequality; monotone-iterative technique; multiplicity; multipoint and sub-strip boundary conditions; n-th order fuzzy partial H-derivative; nonlocal boundary conditions; one-sided Perron condition; optimal feedback control; partial Volterra fuzzy integro-differential equations; porous material; positive solutions; Riemann-Liouville fractional differential equation; Riemann-Liouville fractional differential equations; Riemann-Liouville integral; roughness; variable delay; Voigt model; weakly upper semicontinuous
• Online Access: Open Access: DOAB: description of the publication; Open Access: DOAB, download the publication

 During the past decades, the subject of calculus of integrals and derivatives of any arbitrary real or complex order has gained considerable popularity and impact. This is mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. In connection with this, great importance is attached to the publication of results that focus on recent and novel developments in the theory of any types of differential and fractional differential equation and inclusions, especially covering analytical and numerical research for such kinds of equations. This book is a compilation of articles from a Special Issue of Mathematics devoted to the topic of "Recent Investigations of Differential and Fractional Equations and Inclusions". It contains some theoretical works and approximate methods in fractional differential equations and inclusions as well as fuzzy integrodifferential equations. Many of the papers were supported by the Bulgarian National Science Fund under Project KP-06-N32/7. Overall, the volume is an excellent witness of the relevance of the theory of fractional differential equations.