A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system

D Baleanu, S Zibaei, M Namjoo, A Jajarmi - Advances in Difference …, 2021 - Springer
The aim of this paper is to introduce and analyze a novel fractional chaotic system including
quadratic and cubic nonlinearities. We take into account the Caputo derivative for the …

A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b-metric spaces

H Afshari, E Karapınar - Advances in Difference Equations, 2020 - Springer
In this paper, we investigate the existence of positive solutions for the new class of boundary
value problems via ψ-Hilfer fractional differential equations. For our purpose, we use the α …

Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

A Salim, M Benchohra, E Karapınar… - Advances in Difference …, 2020 - Springer
In this manuscript, we examine the existence and the Ulam stability of solutions for a class of
boundary value problems for nonlinear implicit fractional differential equations with …

A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1, 2) with delay

C Dineshkumar, R Udhayakumar, V Vijayakumar… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, we formulate a new set of sufficient conditions for the approximate
controllability of fractional evolution stochastic integrodifferential delay inclusions of order …

Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems

SK Panda, C Ravichandran, B Hazarika - Chaos, Solitons & Fractals, 2021 - Elsevier
This article concerning to initiate the existence of solutions via fixed point technique for: 1.
The Atangana–Baleanu Willis Aneurysm System {0 AB D tn 1 p= q 0 AB D tn 2 q= F cos …

On the existence and stability of a neutral stochastic fractional differential system

M Ahmad, A Zada, M Ghaderi, R George… - Fractal and …, 2022 - mdpi.com
The main purpose of this paper is to investigate the existence and Ulam-Hyers stability (U-
Hs) of solutions of a nonlinear neutral stochastic fractional differential system. We prove the …

A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear Telegraph equation via fixed point …

SK Panda, T Abdeljawad, C Ravichandran - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper involves complex valued versions of Riemann-Liouville integral, Atangana-
Baleanu integral operator and non-linear Telegraph equation. Under various suitable …

Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions

HA Hammad, RA Rashwan, A Nafea… - Journal of Vibration …, 2024 - journals.sagepub.com
The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the
underlying tripled system of fractional pantograph differential equations. We also used …

Implicit Fractional Differential Equations

M Benchohra, E Karapınar, JE Lazreg… - Advanced Topics in …, 2023 - Springer
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Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations

M Younis, H Ahmad, L Chen, M Han - Journal of Geometry and Physics, 2023 - Elsevier
This paper aims to discuss the convergence behavior of fixed points for graphical B c-
Kannan-contractions using numerical iterations within the structure of graphical extended b …