General Letters in Mathematics

Related Articles ( Fractional differential equations )

Numerical Solution for Solving Fractional Differential Equations using Shifted Chebyshev Wavelet

Mohamed Elarabi Benattia , Belghaba Kacem

In this paper, we are interested to develop a numerical method based on the Chebyshev wavelets for solving fractional order differential equations (FDEs). As a result of the presentation of Chebyshev wavelets, we highlight the operational matrix of the fractional order derivative through wavelet-polynomial ...

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Bernoulli Operational Matrix of Fractional Derivative for Solution of Fractional Differential Equations

Rachid Belgacem , Ahmed Bokhari , Abdessamad Amir

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 ...

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On the Study of Nonlinear Fractional Differential Equations on Unbounded Interval

Ahmed Hallaci , Hamid Boulares , Muhammet Kurulay

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 ...

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Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations

Abduljawad K. Anwar , Shayma Adil Murad

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 ...

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Stability for Pantograph Fractional Differential Equations

Hamid Boulares

In this manuscript, we studied some sufficient condition for the asymptotically stable of the zero solution of pantograph Caputo fractional differential equations of order (1 < < 2). In a weighted Banach space, we used Krasnoselskii’s fixed point theorem to derive new reIn this manuscript, ...

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Existence Solutions For Sequential ψ-Caputo Fractional Differential Equations

Hamid Boulares , Khaireddine Fernane

In this manuscript, we presented the technique of having solutions to sequential ψ-Caputo fractional differential equations (ψ-CFDE) with fractional boundary conditions (ψ-FBCs). Well-known fixed point techniques are used to analyze the existence of the problem. In particular, the principle ...

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Double SEJI Integral Transform and its Applications to Differential Equations

Jinan A. Jasim , Sadiq A. Mehdi , Emad A. Kuffi

In this paper, a novel concept for a double transform in two dimensions known as the double SEJI integral transform has been proposed. Its key characteristics, including a few of its properties and theorems, have been established. A few well-known functions were also available in the Double SEJI integral ...

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Optimal Follow Up Designs for Fractional Partial Differential Equations with Application to a Convection-Advection Model

Edward L. Boone , Ryad A. Ghanam , Albert H. Lee

As the mathematical properties of Fractional Partial Differential Equations are rapidly being developed, there is an increasing desire by researchers to employ these models in real world data oriented contexts. The main barrier to employing these models is the choice of the fractional order alpha. Recently, ...

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