Results 71 to 80 of about 38,686 (159)

On Efficient Method for System of Fractional Differential Equations

Advances in Difference Equations, 2011
The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach, the solution is considered as a Taylor series expansion that converges rapidly to the ...
Jamil Muhammad, Khan NajeebAlam, Ara Asmat, Khan Nasir-Uddin   +3 more
doaj  

On some explicit solitary wave patterns for a generalized nonlinear reaction–diffusion equation with conformable temporal fractional derivative

Partial Differential Equations in Applied Mathematics
Soliton solutions of a (2+1)-dimensional reaction–diffusion problem are derived in the present work using the generalized Riccati equation mapping method.
Muhammad Jawaz, Jorge E. Macías-Díaz, Syed A. Aqeel, Nauman Ahmed, Muhammad Z. Baber, María G. Medina-Guevara   +5 more
doaj   +1 more source

Dynamical Analysis and Soliton Solutions of the Truncated M-Fractional FitzHugh–Nagumo Equation

Fractal and Fractional
In this paper, we investigate the (1 + 1)-dimensional nonlinear truncated M-fractional FitzHugh–Nagumo model. The main objective is to analyze the dynamical behavior and obtain exact solutions for the model.
Beenish, Abdulaziz Khalid Alsharidi
doaj   +1 more source

Detecting dynamical behaviors of solitary waves in the M-fractional Konopelchenko–Dubrovsky system with stability and sensitivity analysis

Physics Open
In this study, we investigate the solitary wave profiles of the Konopelchenko–Dubrovsky equation with the truncated M-fractional derivative. We employed the specific wave transformation to transform the studied partial differential equation (PDE) into a ...
M. Mohiuddin, Md Enamul Karim, Md. Ruhul Amin, Khalifa Mohammad Helal, Md. Joni Alam, Ruma Akter, Mohammad Safi Ullah   +6 more
doaj   +1 more source

Fractional Longitudinal Wave Dynamics in Magneto-Electro- Elastic Materials: A Neural Network-Based Approach

Fractal and Fractional
Fractional derivatives introduce an effective mathematical structure to describe memory effects, long-range interactions, and anomalous transport processes that are not well represented by the traditional integer-order models.
Usman Younas, Aljethi Reem Abdullah, Fengping Yao, Jan Muhammad   +3 more
doaj   +1 more source

Analyzing solution of the fractional Lorenz system and fractional Riccati equation via the modified Laplace power series residual method

Journal of Mathematics and Computer Science
The series approach is commonly used to obtain approximate analytic solutions for differential equations, but it often converges for a short time. To address this limitation, a new algorithm has been developed that enables the solution to be carried out ...
A. Alomari, Mohammad Alaroud, N‎. Tahat, M‎. Al-Refai   +3 more
semanticscholar   +1 more source

On the comparative analysis for the fractional solitary wave profiles to the recently developed nonlinear system

Ain Shams Engineering Journal
We study the comparative exact solutions of the Kairat-II equation describing the physical behaviors of nonlinear systems. The newly introduced Kairat equation has numerous applications in the fields of plasma physics, optical communications ...
Usman Younas, Jan Muhammad, Naila Nasreen, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +1 more source

New Interaction Patterns for the Truncated M-Fractional Kadomtsev–Petviashvili Equation in High-Dimensional Space

Fractal and Fractional
A truncated M-fractional Kadomtsev–Petviashvili (KP) equation in high-dimensional space has been proposed. The model provides the oretical support for studying the interaction patterns among waves.
Lihua Zhang, Shuqi Chong, Hongbing Jiao, Bo Shen, Gangwei Wang   +4 more
doaj   +1 more source

Numerical Solution of Fractional Riccati Differential Equation via Shifted Chebyshev Polynomials of the Third Kind

, 2017
H. Yaslan
semanticscholar   +1 more source

Exploring the multistability, sensitivity, and wave profiles to the fractional Sharma–Tasso–Olver equation in the mathematical physics

AIP Advances
In this work, we study the solitary wave profiles of the fractional-Sharma–Tasso–Olver equation, which is applicable to particle fission and fusion mechanisms in nuclear physics.
Li Ming, Jan Muhammad, David Yaro, Usman Younas   +3 more
doaj   +1 more source