Related Articles ( Differential equation )
Existence and Uniqueness of a Fuzzy Solution for some Fuzzy Neutral Partial integro-Differential Equation with Nonlocal Conditions
In this work, we establish several results about the existence of fuzzy solutions for some Fuzzy Neutral partial integro-Differential Equation with nonlocal condition. Our approach rest on the Banach fixed-point theorem.
Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations
The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional differential equations(FDEs). The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a ...
On the Study of Nonlinear Fractional Differential Equations on Unbounded Interval
By the means of the variation of constants formula and some analytical skills, we use Banach contraction principle to investigate in this paper an uniqueness and existence of unbounded solution for nonlinear differential equations of fractional orders in weighted Banach space. At last, we present an illustrative ...
An Accurate Approximate Solutions of Multipoint Boundary Value Problems
The main objective of this paper is to obtain a new accurate approximate solutions for a kind of ordinary differential equations called multipoint boundary value problems by using simple modification of optimal homotopy asymptotic method (OHAM). This procedure is a well-performance for calculating a better ...
A comparison between applications of the Lyapunov’s second (direct) method and fixed point theory
Inthisarticle,wewilldiscusstheapplicationoftheLyapunov’ssecondmethodandfixedpointtheoriestocertaindifferential equations of first and second order. First, we will introduce some basic information about these subjects, and later, we give their applications concerning some specific attitude of Solutions ...
Designing the Shape of Corona Virus Using the PDE Method
The aim of this study is designing the shape of corona virus (COVID-19) using the partial differential equation (PDE). The technique improvement was based on using an elliptic PDE as well as a set of four boundary conditions. The PDE method can generate surfaces of geometries from a small number of parameters. ...
Homotopy Sumudu Transformation Method for Solving Fractional Delay Differential Equations
In this article, A new accurate approximate solution for a nonlinear fractional delay differential equations are obtained using an effective algorithm so called homotopy analysis sumudu transformation method (HASTM). Some examples have been solved to demonstrate the methodology of this procedure. The ...
Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels
In this paper, the numerical-analytic method has been used to study the existence and approximation of the periodic solutions for the vector T-system of new nonlinear multiple integro-differential equations of mixed (Volterra-Fredholm) and (Fredholm-Volterra) types. Our main task provided sufficient ...
A Stochastic Maximum Principle for a Minimization Problem Under Partial Information
In this paper, we establish a stochastic maximum principle for a stochastic minimization problem under partial information. With the Backward stochastic differential equations (in short BSDE’s), we establish a sufficient condition of optimality to characterize and determine an optimal control. ...
Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and the existence results are established by using the Schauder’s ...