[HTML][HTML] An efficient technique based on least-squares method for fractional integro-differential equations

Y Jia, M Xu, Y Lin, D Jiang - Alexandria Engineering Journal, 2023 - Elsevier
In this paper, we investigate an efficient technique for solving fractional integro-differential
equations (FIDEs) that have numerous applications in various fields of science. The …

Animation design based on 3D visual communication technology

F Shan, Y Wang - Scientific Programming, 2022 - Wiley Online Library
The depth synthesis of image texture is neglected in the current image visual communication
technology, which leads to the poor visual effect. Therefore, the design method of film and …

Analysis for advection–diffusion problem subject to memory effects and local and nonlocal kernels: A fractional operators approach

Q Ali, K Al-Khaled, J Omar, A Raza… - … Journal of Modern …, 2023 - World Scientific
In this communication, a familiar physical phenomenon along with a time-dependent
concentration source in a one-dimensional fractional differential advection–diffusion has …

[HTML][HTML] Semi-analytical solutions of the 3rd order fuzzy dispersive partial differential equations under fractional operators

S Ahmad, A Ullah, A Akgül, T Abdeljawad - Alexandria Engineering Journal, 2021 - Elsevier
The purpose of this article is to extend the fractional third order dispersive PDE under
singular and non-singular fractional operators via the notion of fuzziness. We investigate the …

Nonlinear higher order fractional terminal value problems

D Baleanu, B Shiri - 2022 - earsiv.cankaya.edu.tr
Terminal value problems for systems of fractional differential equations are studied with an
especial focus on higher-order systems. Discretized piecewise polynomial collocation …

On a terminal value problem for stochastic space‐time fractional wave equations

N Tran Bao, E Nane, N Huy Tuan - Mathematical Methods in …, 2023 - Wiley Online Library
This work is to investigate terminal value problem for a stochastic time fractional wave
equation, driven by a cylindrical Wiener process on a Hilbert space. A representation of the …

Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations

ND Phuong, NA Tuan, D Kumar… - … Modelling of Natural …, 2021 - mmnp-journal.org
In this paper, we investigate a initial value problem for the Caputo time-fractional pseudo-
parabolic equations with fractional Laplace operator of order 0< ν≤ 1 and the nonlinear …

Analytical Solutions for the Equal Width Equations Containing Generalized Fractional Derivative Using the Efficient Combined Method

M Derakhshan - International Journal of Differential Equations, 2021 - Wiley Online Library
In this paper, the efficient combined method based on the homotopy perturbation Sadik
transform method (HPSTM) is applied to solve the physical and functional equations …

Inverse fractional Sturm‐Liouville problem with eigenparameter in the boundary conditions

A Sa'idu, H Koyunbakan - Mathematical Methods in the …, 2022 - Wiley Online Library
Ambarzumyan theorem is one of the first results of the inverse spectral theory. In this work,
Ambarzumyan's theorem is proved for a fractional derivative Sturm‐Liouville problem. In …

Uniqueness of the potential in conformable Sturm‐Liouville problem

H Koyunbakan - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
This study is about the inverse problem of the conformable Sturm‐Liouville problem SLP.
Namely, we first defined the problem with separable boundary conditions and gave some of …