Results 111 to 120 of about 3,521 (216)

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

Solving Fractional Riccati Differential Equation with Caputo-Fabrizio Fractional Derivative

European Journal of Pure and Applied Mathematics
This article offers an analytical solution for the fractional Riccati differential equation in three distinct cases. These cases are determined by the discriminant and the analytical solution based on the properties of the Caputo-Fabrizio fractional derivative and integral. Several examples were tested using this analytical solution.
openaire   +1 more source

Numerical treatment by implementing a successive approximation method for fractional Riccati and logistic differential equations [PDF]

Mohamed Adel, M. M. Khader
openalex   +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

Explicit Shifted Second-kind Chebyshev Spectral Treatment for Fractional Riccati Differential Equation

, 2019
W. M. Abd‐Elhameed, Y. H. Youssri
openalex   +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

Approximate Solution of Nonlinear Fractional Order Riccati Differential Equations a Daba Meshesha Gusu, a Department of Mathematics, Ambo University, Ethiopia Dabam7@Gmail.Com B Dagim Degefa B Department of Mathematics, Ambo University, Ethiopia Dagimdegefa2020@Gmail.Com

, 2023
Daba Meshesha Gusu
openalex   +1 more source

The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method

, 2018
Xiaohua Liu
openalex   +2 more sources

Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Alam N, Hamza AE, Mohammed WW, Hamoud AA.   +5 more
europepmc   +1 more source

Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations

, 2019
E. H. Doha, M. A. Abdelkawy, A. Z. Amin, Dumitru Bǎleanu   +3 more
openalex   +2 more sources