General Letters in Mathematics

Related Articles ( existence and uniqueness )

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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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 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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