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Caputo-Hadamard implicit fractional differential equations with delay

São Paulo Journal of Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salim Krim   +2 more
openaire   +2 more sources

Attractivity of implicit differential equations with composite fractional derivative

Georgian Mathematical Journal, 2022
Abstract In this paper, we study the existence and attractivity of solutions for an implicit differential equation with composite fractional derivative. By means of Schauder’s fixed point theorem, sufficient conditions for the main results are investigated.
Devaraj Vivek   +2 more
openaire   +2 more sources

On deformable implicit fractional differential equations in \(b\)-metric spaces

2023
Summary: In this paper, we prove some existence and uniqueness results for some classes of deformable implicit fractional differential equations in \(b\)-Metric spaces with initial conditions. We base our arguments on some some fixed point theorems. Finally, we provide an example to illustrate our results.
Salim, Abdelkrim   +3 more
openaire   +2 more sources

Block implicit Adams methods for fractional differential equations

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T.A. Biala, S.N. Jator
openaire   +1 more source

Stability analysis for fractional order implicit ψ‐Hilfer differential equations

Mathematical Methods in the Applied Sciences, 2021
The present research endeavor contains formulation of a new ψ‐Hilfer differential equation equipped with integral‐type subsidiary conditions. Utilizing Picard operator method, Banach contraction principle, and Gronwall inequality, we explore solution's properties of the underlying problem.
null Asma   +3 more
openaire   +2 more sources

QUALITATIVE ANALYSIS OF IMPLICIT DELAY MITTAG-LEFFLER-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS

Fractals, 2022
This research work is devoted to endeavor some results for a delay implicit impulsive type problem under Atangana–Baleanu fractional derivative. The concerned derivative utilizes a nonlocal and non-singular kernel. We build some hypotheses to prove our results. We use Banach and Krasnoselskii fixed point theorems to derive the required results.
Shao-Wen Yao   +4 more
openaire   +1 more source

Initial value problem for hybrid $$\psi $$-Hilfer fractional implicit differential equations

Journal of Fixed Point Theory and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelkrim Salim   +3 more
openaire   +2 more sources

Existence of periodic solutions for nonlinear implicit Hadamard’s fractional differential equations

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
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Benchohra, Mouffak   +2 more
openaire   +2 more sources

Implicit Fractional Differential Equations

2023
Mouffak Benchohra   +3 more
openaire   +1 more source

Analyze implicit fractional differential equations using the AB-Caputo fractional derivative

International Journal of Modeling, Simulation, and Scientific Computing
In this study, we explore the solutions of fractional differential equations (FDEs) involving the Atangana–Baleanu–Caputo derivative, subject to both integral and impulsive implicit boundary conditions. To establish the existence and uniqueness of solutions, we utilize the Banach Contraction Mapping Principle and Krasnoselskiis fixed point theorem ...
Abdulrahman A. Sharif   +2 more
openaire   +1 more source

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