General Letters in Mathematics

Related Articles ( Existence )

Existence and Regularity Results for the Stokes System with Mixed Boundary Conditions

Mourad Dilmi , Hamid. Benseridi

In this paper we consider the nonlinear boundary value problem governed by a stationary perturbed Stokes system with mixed boundary conditions ( Dirichlet-Fourier- maximal monotone graph), in a smooth domain. The existence and regularity of the weak solution to this problem are proved. Our approach is ...

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Global Properties of the Solution of the Einstein-Maxwell-Boltzmann-Scalar Field System with Pseudo-Tensor of Pressure on a Bianchi Type I Space-Time

Noutchegueme Norbert , Dongo David , Djiofack Francis Etienne

In this paper, we study the asymptotic behaviour, the geodesic completeness and the energy condition for the coupled Einstein-Maxwell-Boltzmann-Massive scalar field system with pseudo-tensor of pressure in the sources which rules the dynamincs of kind of charged pure matter in the presence of a massive ...

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Existence of Solution of Neutral Fractional Impulsive Differential Equations with Infinite Delay

K.Hilal , Y. Allaoui

In this work we define the solution of the fractional neutral impulsive differential equation with infinite delay. The results of existence are obtained by using the Banach contraction and Schafer fixed point. Some proprieties of probability density functions and semi-group theory are also used.

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Existence Solutions of the Complex Linear Differential Equations in QK,ω(p,q) Spaces

A. Kamal , T.I. Yassen

In this article, we study the existence of solutions of the complex linear differential equation of the form f(n) + An−1(z)f(n−1) + ... + A1(z)f0 + A0(z)f = 0, where the coefficients A0,A1,...,An are analytic functions in the unit disc. To carry out the existence of these solutions, we obtain ...

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Existence and Uniqueness of a Fuzzy Solution for some Fuzzy Neutral Partial integro-Differential Equation with Nonlocal Conditions

Atimad HARIR , Said MELLIANI , Lalla Saadia CHADLI

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.

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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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Regular Solution for the Generalized Relativistic Boltzmann Equation in Yang-Mills Field

Dongo David , Noutchegueme Norbert , Nguelemo Kenfack Abel

We consider in this work the generalized relativistic Boltzmann equation in the presence of a Yang-Mills field in temporal gauge on a Bianchi type 1 space-time. Such an equation governs the evolution which collisions of plasmas, for instance of quarks and gluons (quagma), where non abelian Yang-Mills ...

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Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels

Raad N. Butris , Hewa Selman Faris

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 ...

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Local existence and uniqueness for a fractional SIRS model with Mittag–Leffler law

Moulay Rchid Sidi Ammi , Mostafa Tahiri , Delfim F. M. Torres

In this paper, we study an epidemic model with Atangana-Baleanu-Caputo fractional derivative. We obtain a special solution using an iterative scheme via Laplace transformation. Uniqueness and existence of a solution using the Banach fixed point theorem are studied. A detailed analysis of the stability ...

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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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