Approximate solutions and Hyers–Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform

S Etemad, B Tellab, J Alzabut, S Rezapour… - Advances in Difference …, 2021 - Springer
In this paper, we consider a new coupled system of fractional boundary value problems
based on the thermostat control model. With the help of fixed point theory, we investigate the …

Existence and Uniqueness Results for Two‐Term Nonlinear Fractional Differential Equations via a Fixed Point Technique

HR Marasi, H Aydi - Journal of Mathematics, 2021 - Wiley Online Library
The work addressed in this paper is to ensure the existence and uniqueness of positive
solutions for initial value problems for nonlinear fractional differential equations with two …

[HTML][HTML] Nonlinear Caputo fractional derivative with nonlocal Riemann-Liouville fractional integral condition via fixed point theorems

P Borisut, P Kumam, I Ahmed, K Sitthithakerngkiet - Symmetry, 2019 - mdpi.com
In this paper, we study and investigate an interesting Caputo fractional derivative and
Riemann–Liouville integral boundary value problem (BVP): c D 0+ qu (t)= f (t, u (t)), t∈[0, T] …

An efficient hybrid numerical method for multi-term time fractional partial differential equations in fluid mechanics with convergence and error analysis

AS Joujehi, MH Derakhshan, HR Marasi - Communications in Nonlinear …, 2022 - Elsevier
The fundamental purpose of this paper is to study the numerical solution of multi-term time
fractional nonlinear Klein–Gordon equation, using regularized beta functions and fractional …

Applications of new contraction map**s on existence and uniqueness results for implicit ϕ-Hilfer fractional pantograph differential equations

H Afshari, HR Marasi, J Alzabut - Journal of Inequalities and Applications, 2021 - Springer
In this paper, we consider initial value problems for two different classes of implicit ϕ-Hilfer
fractional pantograph differential equations. We use different approach that is based on α− ψ …

Application of some new contractions for existence and uniqueness of differential equations involving Caputo–Fabrizio derivative

H Afshari, H Hosseinpour, HR Marasi - Advances in Difference Equations, 2021 - Springer
In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which
involves nonsingular kernel. First we apply α-ℓ-contraction and α-type F-contraction …

A discussion on a generalized Geraghty multi-valued map**s and applications

H Afshari, M Atapour, E Karapınar - Advances in Difference Equations, 2020 - Springer
This research intends to investigate the existence results for both coincidence points and
common fixed point of generalized Geraghty multi-valued map**s endowed with a …

Usage of the fuzzy Adomian decomposition method for solving some fuzzy fractional partial differential equations

NA Saeed, DB Pachpatte - Advances in Fuzzy Systems, 2024 - Wiley Online Library
In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial
differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian …

A coupled system of fractional differential equations on the half-line

C Zhai, J Ren - Boundary Value Problems, 2019 - Springer
In this paper, we consider a new fractional differential system on an unbounded domain D α
u (t)+ φ (t, v (t), D γ 1 v (t))= 0, t∈ 0,+∞), α∈(2, 3, D β v (t)+ ψ (t, u (t), D γ 2 u (t))= 0, t∈ …

Further results on existence of positive solutions of generalized fractional boundary value problems

H Afshari, MS Abdo, J Alzabut - Advances in Difference Equations, 2020 - Springer
This paper studies two classes of boundary value problems within the generalized Caputo
fractional operators. By applying the fixed point result of α-ϕ-Geraghty contractive type …