Fractional Differential Equations - an overview - ScienceDirect
Fractional differential equations are an alternative to conventional integer-order derivatives and may be used to simulate a broader range of physical systems, including those with non-local or memory effects. Some discussions on the different approaches used …
Fractional Differential Equations and Their Applications
2008年8月26日 · In this thesis we discuss standard approaches to the problem of fractional derivatives and fractional integrals (simply called differintegrals), namely the Riemann-Liouville, the Caputo and...
Fractional Differential Equations: An Approach via Fractional ...
This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory …
In this paper, we propose a new method called the inverse fractional Shehu transform method to solve homogenous and non-homogenous linear fractional differential equations. Fractional deriva-tives are described in the sense of Riemann-Liouville and Caputo.
Introduction to Fractional Differential Equations
This book introduces problems and methods in the field of Fractional Calculus: a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas.
An Introduction to Fractional Differential Equations
This is an introductory-level text on fractional calculus and fractional differential equations. Targeted to graduate students of mathematics and researchers, it contains several new definitions of fractional integrals and fractional derivatives.
Basic Theory of Fractional Differential Equations
In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier–Stokes equations and fractional diffusion equations.
Fractional Differential Equations | ScienceDirect
Fractional Differential Equations: Theoretical Aspects and Applications presents the latest mathematical and conceptual developments in the field of Fractional Calculus and explores the scope of applications in research science and computational modeling. The book delves into these methods and applied computational modelling techniques ...
In this paper, Caputo fractional delay differential equations with impulses and two types of delays-variable in time and distributed ones are studied. Some results for piecewise continuous Lyapunov functions based on the Razumikhin method are obtained. Appropriate derivatives of Lyapunov functions among the studied fractional equations are used.
fractional differential equations become more and more popular because of its powerful potential applications. A large number of new differential equations (models) that involve
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