Results 261 to 270 of about 37,668 (284)

A novel approach for the solution of fractional diffusion problems with conformable derivative

Numerical Methods for Partial Differential Equations, 2021
AbstractThe truncated solution of space–time fractional differential equations, including conformable derivative is constructed by the help of residual power series method (RPSM). At the first step the space–time fractional differential equations are transformed into space fractional differential equations or time fractional differential equations by ...
Mine A. Bayrak, Ali Demir, Ebru Ozbilge
openaire   +3 more sources

Fractional conformable derivatives of Liouville–Caputo type with low-fractionality

Physica A: Statistical Mechanics and its Applications, 2018
Abstract This paper presents a novel fractional conformable derivative of Liouville–Caputo type of fractional order α = n − ϵ that contains a small ϵ and positive integer n values between [1;2]. The method is applied to obtain analytical solutions for the electrical circuits LC and RL and for the equations that describe the ...
Ricardo Fabricio Escobar-Jiménez, José Francisco Gómez-Aguilar, M.A. Taneco-Hernández, V. F. Morales-Delgado   +3 more
openaire   +2 more sources

Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative

Zeitschrift für Naturforschung A
This study focuses on the investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative by the implementation of the generalized projective Riccati equations technique.
Nilkanta Das, S. Saha Ray
semanticscholar   +1 more source

Foldy–Wouthuysen transformation of Dirac equation in the context of conformable fractional derivative

Modern Physics Letters A
In this paper, we investigate the non-relativistic limit of the Dirac equation for relativistic spin-1/2 particles within the framework of the conformable fractional derivative (CFD) using the Foldy–Wouthuysen (FW) transformation.
Ilyas Haouam
semanticscholar   +1 more source

Fractional logistic models in the frame of fractional operators generated by conformable derivatives

Chaos, Solitons & Fractals, 2019
Abstract In this article, we study different types of fractional-order logistic models in the frame of Caputo type fractional operators generated by conformable derivatives (Caputo CFDs). We present the existence and uniqueness theorems to solutions of these models and discuss their stability by perturbing the equilibrium points.
Thabet Abdeljawad, Qasem M. Al-Mdallal, Fahd Jarad   +2 more
openaire   +2 more sources

Approximate and Exact Solutions of Some Nonlinear Differential Equations Using the Novel Coupling Approach in the Sense of Conformable Fractional Derivative

Contemporary Mathematics
Several scientific fields utilize fractional nonlinear partial differential equations to model various phenomena. However, most of these equations lack exact solutions.
Muhammad Imran Liaqat, Ali Akgül
semanticscholar   +1 more source

Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative

Chaos, Solitons & Fractals, 2019
Abstract In this paper, tumor-immune system interaction has been considered by two fractional order models. The first and the second model consist of system of fractional order differential equations with Caputo and conformable fractional derivative respectively.
Ercan Balcı, İlhan Öztürk, Senol Kartal   +2 more
openaire   +4 more sources

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

Physica Scripta, 2020
Mathematical modeling of fractional resonant Schrödinger equations is an extremely significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and anomalous diffusion systems.
M. Al‐Smadi, Omar Abu Arqub, S. Momani
semanticscholar   +1 more source

Investigation of the Dirac Equation by Using the Conformable Fractional Derivative

Journal of the Korean Physical Society, 2018
In this paper,the Dirac equation is constructed using the conformable fractional derivative so that in its limit for the fractional parameter, the normal version is recovered. Then, the Cornell potential is considered as the interaction of the system. In this case, the wave function and the energy eigenvalue equation are derived with the aim of the bi ...
Hadi Sobhani, Hassan Hassanabadi, Won Sang Chung, F. S. Mozaffari   +3 more
openaire   +2 more sources

Innate Character of Conformable Fractional Derivative and Its Effects on Solutions of Differential Equations

Mathematical methods in the applied sciences
In this paper, the innate character of the conformable fractional derivative is studied and a new type of soliton named semidomain soliton has been discovered in the conformable fractional model.
Jiafa Xu, Yujun Cui, Weiguo Rui
semanticscholar   +1 more source