Conformable derivative approach to anomalous diffusion

HW Zhou, S Yang, SQ Zhang - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
By using a new derivative with fractional order, referred to conformable derivative, an
alternative representation of the diffusion equation is proposed to improve the modeling of …

[HTML][HTML] Conformable derivative: Application to non-Darcian flow in low-permeability porous media

S Yang, L Wang, S Zhang - Applied Mathematics Letters, 2018 - Elsevier
The conformable derivative is used to develop the Swartzendruber model for description of
non-Darcian flow in porous media. The proposed conformable Swartzendruber models are …

Well-posedness of inverse Sturm–Liouville problem with fractional derivative

H Koyunbakan, K Shah, T Abdeljawad - Qualitative Theory of Dynamical …, 2023 - Springer
We have given the inverse nodal problem for the fractional Sturm–Liouville (S–L) problem
and the stability for this problem. First of all, we have shown asymptotic forms for nodal …

On conformable double Laplace transform

O Özkan, A Kurt - Optical and Quantum Electronics, 2018 - Springer
In this study authors introduce the conformable double Laplace transform which can be used
to solve fractional partial differential equations that represents many physical and …

Exponential quasi-synchronization of conformable fractional-order complex dynamical networks

X Chu, L Xu, H Hu - Chaos, Solitons & Fractals, 2020 - Elsevier
This article concerns the global exponential quasi-synchronization issue of conformable
fractional-order complex dynamical networks (FCDNs) by periodically intermittent pinning …

Dynamics and synchronization of a fractional conformable neural network with power-law

A Coronel-Escamilla, JE Solís-Pérez… - The European Physical …, 2022 - Springer
In this work, we studied the dynamics of a chaotic neural network using the fractional-
conformable operator and non-integer order derivatives. We first systematically show the …

Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem

H Mortazaasl, A Jodayree Akbarfam - Inverse Problems in Science …, 2020 - Taylor & Francis
In this paper, we have developed the spectral theory for a conformable fractional Sturm-
Liouville problem L α (q (x), h, H) with boundary conditions which include conformable …

Asymptotic synchronization of conformable fractional-order neural networks by L'Hopital's rule

X Xiong, Z Zhang - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper focuses on the globally asymptotic synchronization (GAS) for delayed drive-
response (DR) conformable fractional-order neural networks (CFONNS). Two differential …

[HTML][HTML] Closed-form solution of optimal control problem of a fractional order system

T Chiranjeevi, RK Biswas - Journal of King Saud University-Science, 2019 - Elsevier
A formulation and an analytical solution technique of fractional optimal control problem
(FOCP) is presented in this paper. The performance index (PI) considered is a conformable …

The existence of solution of diffusion equation with the general conformable derivative

S Li, S Zhang, R Liu - Journal of Function Spaces, 2020 - Wiley Online Library
In this paper, the general conformable fractional derivative is used in the classical diffusion
equations, and the corresponding maximum principle is obtained. By the maximum …