-
Article
Open AccessFuzzy fractional-order model of the novel coronavirus
In this paper, a novel coronavirus infection system with a fuzzy fractional differential equation defined in Caputo’s sense is developed. By using the fuzzy Laplace method coupled with Adomian decomposition tr...
-
Article
Ulam–Hyers Stability Analysis of a Three-Point Boundary-Value Problem for Fractional Differential Equations
We study the problem of existence and uniqueness of the solution of a three-point boundary-value problem for a differential equation of fractional order. Further, we investigate various kinds of the Ulam stabi...
-
Article
Open AccessStudy on Krasnoselskii’s fixed point theorem for Caputo–Fabrizio fractional differential equations
This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point th...
-
Article
Open AccessSolution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which...
-
Article
Open AccessExistence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations
In this article, we study the existence result for a boundary value problem (BVP) of hybrid fractional sequential integro-differential equations. A fixed point theorem provided by Dhage in (Nonlinear Anal. 4:4...
-
Article
Open AccessUlam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differentia...
