Qualitative Analysis of Implicit Dirichlet Boundary Value Problem for Caputo‐Fabrizio Fractional Differential Equations

R Gul, M Sarwar, K Shah… - Journal of Function …, 2020 - Wiley Online Library
This article studies a class of implicit fractional differential equations involving a Caputo‐
Fabrizio fractional derivative under Dirichlet boundary conditions (DBCs). Using classical …

[HTML][HTML] Study of evolution problem under Mittag–Leffler type fractional order derivative

K Shah, M Sher, T Abdeljawad - Alexandria Engineering Journal, 2020 - Elsevier
The current work is devoted to investigate evolution problem of nonlocal Cauchy type under
“Mittag–Leffler” type fractional derivative which works as nonsingular and nonlocal kernel …

Stochastic resetting and linear reaction processes: A continuous time random walk approach

GG da Rocha, EK Lenzi - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
We investigate a diffusion process by considering simultaneously stochastic resetting and
linear reaction kinetics in the continuous time random walk approach. We first consider the …

Qualitative analysis of implicit delay Mittag-Leffler-Type fractional differential equations

SW Yao, Y Sughra, ASMA, MA Inc, KJ Ansari - Fractals, 2022 - World Scientific
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 …

Fractional versions of Minkowski-type integral inequalities via unified Mittag-Leffler function

SS Zhou, G Farid, A Ahmad - Advances in Continuous and Discrete …, 2022 - Springer
Fractional versions of Minkowski-type integral inequalities via unified Mittag-Leffler function |
Advances in Continuous and Discrete Models Skip to main content Advertisement SpringerLink …

Fractional order, state space model of the temperature field in the PCB plate

K Oprzędkiewicz, W Mitkowski, M Rosół - acta mechanica et …, 2023 - sciendo.com
In the paper the fractional order, state space model of a temperature field in a two-
dimensional metallic surface is addressed. The proposed model is the two dimensional …

Resonance behavior for a generalized Mittag-Leffler fractional Langevin equation with hydrodynamic interactions

G He, H Liu, G Tang, J Cao - International Journal of Modern …, 2020 - World Scientific
The phenomenological model for the heavy tracers in viscoelastic media modeled by a
generalized Mittag-Leffler fractional Langevin equation with the generalized Stokes force …

[PDF][PDF] Fractional order, discrete model of heat transfer process using time and spatial Grünwald-Letnikov operator

K Oprzędkiewicz - Bulletin of the Polish Academy of Sciences …, 2021 - journals.pan.pl
In the paper a new, state space, fully discrete, fractional model of a heat transfer process in
one dimensional body is addressed. The proposed model derives directly from fractional …

Determine unknown source problem for time fractional pseudo-parabolic equation with Atangana-Baleanu Caputo fractional derivative

ND Phuong, D Kumar, HD Binh - AIMS Mathematics, 2022 - aimspress.com
In this paper, we consider a pseudo-parabolic equation with the Atangana-Baleanu Caputo
fractional derivative. Our main tool here is using fundamental tools, namely the Fractional …

Agitation of SARS‐CoV‐2 disease (COVID‐19) using ABC fractional‐order modified SEIR model

A Ullah, S Ahmad, G Ur Rahman, A Ali… - … Methods in the …, 2023 - Wiley Online Library
The present article studies the agitation scenario of SARS‐CoV‐2 (COVID‐19), the current
pandemic around the globe, by applying Atangana–Baleanu–Caputo (ABC)\left (ABC\right) …