Study of a sequential -Hilfer fractional integro-differential equations with nonlocal BCs

F Haddouchi, ME Samei, S Rezapour - Journal of Pseudo-Differential …, 2023 - Springer
This paper deals with the existence and uniqueness of solutions for a nonlinear boundary
value problem involving a sequential ψ-Hilfer fractional integro-differential equations with …

The existence, uniqueness, and stability analysis of the discrete fractional three-point boundary value problem for the elastic beam equation

J Alzabut, AGM Selvam, R Dhineshbabu, MKA Kaabar - Symmetry, 2021 - mdpi.com
An elastic beam equation (EBEq) described by a fourth-order fractional difference equation
is proposed in this work with three-point boundary conditions involving the Riemann …

Green–Haar wavelets method for generalized fractional differential equations

M ur Rehman, D Baleanu, J Alzabut, M Ismail… - Advances in Difference …, 2020 - Springer
The objective of this paper is to present two numerical techniques for solving generalized
fractional differential equations. We develop Haar wavelets operational matrices to …

Genocchi collocation method for accurate solution of nonlinear fractional differential equations with error analysis

M El-Gamel, N Mohamed, W Adel - Mathematical Modelling and …, 2023 - dergipark.org.tr
In this study, we introduce an innovative fractional Genocchi collocation method for solving
nonlinear fractional differential equations, which have significant applications in science and …

Discrete fractional order two-point boundary value problem with some relevant physical applications

AGM Selvam, J Alzabut, R Dhineshbabu… - Journal of Inequalities …, 2020 - Springer
The results reported in this paper are concerned with the existence and uniqueness of
solutions of discrete fractional order two-point boundary value problem. The results are …

Variational method for solving the time-fractal heat conduction problem in the Claydite-Block construction

V Shymanskyi, I Sokolovskyy, Y Sokolovskyy… - … on Computer Science …, 2022 - Springer
Mathematical models of the heat conduction problem in the claydite-block construction with
taking into account the fractal structure of the material is constructed. Integro-differentiation …

Using fractional Bernoulli Wavelets for solving fractional diffusion wave equations with initial and boundary conditions

M Nosrati Sahlan, H Afshari, J Alzabut, G Alobaidi - Fractal and Fractional, 2021 - mdpi.com
In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are
constructed and applied to evaluate the numerical solution of the general form of Caputo …

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 …

Using the decomposition method to solve the fractional order temperature distribution equation: A new approach

MS Rawashdeh, NA Obeidat… - … Methods in the Applied …, 2023 - Wiley Online Library
Due to its importance in science, finding both exact and approximate solutions to fractional
partial differential equations with boundary conditions is important for the research …

Application of the Optimal Homotopy Asymptotic Approach for Solving Two-Point Fuzzy Ordinary Differential Equations of Fractional Order Arising in Physics

AF Jameel, D Jawad Hashim, N Anakira, O Ababneh… - Axioms, 2023 - mdpi.com
This work focuses on solving and analyzing two-point fuzzy boundary value problems in the
form of fractional ordinary differential equations (FFOBVPs) using a new version of the …