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Invariant and simulation analysis to the time fractional Abrahams - Tsuneto reaction diffusion system
(IOP Publishing, 2019)
In this work, symmetry analysis and numerical approximations to the time fractional Abrahams–Tsuneto reaction diffusion system (ATRDS) are discussed. We obtain point symmetries, similarity variables, similarity transformation ...
Optical solitons for the fractional (3 + 1) - dimensional NLSE with power law nonlinearities by using conformable derivatives
(Springer Nature Switzerland, 20.10.2020)
Abstract: In this paper, the process of the extended direct algebraic method (EDAM) is used to obtain the optical solitons in fractional (3 ? 1)-dimensional nonlinear Schrodinger equation through the conformable derivative. ...
Flow and thermal study of MHD casson fluid past a moving stretching porous wedge
(Springer, 2021)
This research provides the analysis of an analytical method named Homotopy analysis method which is applied to examine the series solutions/results on the thermal boundary layer flow over an extend-ing wedge. The wedge is ...
Numerical solutions of time fractional zakharov-kuznetsov equation via natural transform decomposition method with nonsingular kernel derivatives
(Hindawi Limited, 2021)
In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in ...
Abundant explicit solutions to fractional order nonlinear evolution equations
(Hindawi Limited, 2021)
We utilize the modified Riemann-Liouville derivative sense to develop careful arrangements of time-fractional simplified modified Camassa-Holm (MCH) equations and generalized (3 + 1)-dimensional time-fractional ...
New shape of the chirped bright, dark optical solitons and complex solutions for (2+1)-dimensional ginzburg-landau equation and modulation instability analysis
(Sociedad Mexicana de Fisica, 2021)
The investigation of the Ginzburg-Landau equation (GLE) has been done to fin out and investigate new chirped bright, dark periodic and singular function solutions. For this purpose, we have used the traveling wave hypothesis ...
New optical solitons for complex ginzburg–landau equation with beta derivatives via two integration algorithms
(Springer, 2021)
This paper explores the optical solitons with Kerr laws nonlinearity for the complex Ginzburg–Landau equation with M-truncated and beta derivatives which describes solitons propagation. In this regard, two new methods, ...
A new variant of B-spline for the solution of modified fractional anomalous subdiffusion equation
(Hindawi Limited, 2021)
The objective of this paper is to present an efficient numerical technique for solving time fractional modified anomalous subdiffusion equation. Anomalous diffusion equation has its role in various branches of biological ...
A variety of exact solutions for fractional (2+1)-dimensional heisenberg ferromagnetic spin chain in the semiclassical limit
(Sociedad Mexicana de Fisica, 2021)
This paper investigates exact voyaging (2 + 1) dimensional Heisenberg ferromagnetic spin chain solutions with conformable fractional derivatives, an important family of nonlinear equations from Schrodinger (NLSE) for the ...
A multiple fixed point result for ðθ, ϕ, ψÞ-type contractions in the partially ordered s-distance spaces with an application
(Hindawi, 2022)
In this manuscript, the aim is to prove a multiple fixed point (FP) result for partially ordered s-distance spaces under (theta,phi,psi)-type weak contractive condition. The result will generalize some well-known results ...
