Fractional Partial Random Differential Equations with State-Dependent Delay
Mouffak Benchohra,Amel Heris +1 more
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In this article, the authors provided some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.Abstract:
Abstract In the present paper we provide some existence results for the Darboux problem of partial fractional random differential equations with state-dependent delay by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.read more
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Book
Introduction to Functional Differential Equations
TL;DR: The present book builds upon the earlier work of J. Hale, "Theory of Functional Differential Equations" published in 1977 and attempts to maintain the spirit of that book and have retained approximately one-third of the material intact.
Book
Applications Of Fractional Calculus In Physics
TL;DR: An introduction to fractional calculus can be found in this paper, where Butzer et al. present a discussion of fractional fractional derivatives, derivatives and fractal time series.
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Theory and Applications of Partial Functional Differential Equations
TL;DR: In this paper, the existence and compactness of solution semiflows of linear systems are investigated. But the authors focus on the nonhomogeneous systems and do not consider the linearized stability of non-homogeneous solutions.
Book
Fractional Calculus: Models and Numerical Methods
TL;DR: A survey of numerical methods to solve Fractional Variational Equations can be found in this paper, with a focus on CCTRW. Generalized Stirling Numbers of First and Second Kind in the framework of fractional Calculus.
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