Browsing Makale Koleksiyonu by Title
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Abundant explicit solutions to fractional order nonlinear evolution equations
(Hindawi Limited, 2021)We utilize the modified RiemannLiouville derivative sense to develop careful arrangements of timefractional simplified modified CamassaHolm (MCH) equations and generalized (3 + 1)dimensional timefractional ... 
Abundant optical solitons to the sasa satsuma higher order nonlinear schrödinger equation
(Springer, 12.2021)This paper investigates a diverse collection of exact solutions to a highorder nonlinear Schrödinger equation, called the SasaSatsuma equation. These results are obtained for this nonlinear equation using the generalized ... 
Adequate soliton solutions to the space–time fractional telegraph equation and modified thirdorder KdV equation through a reliable technique
(Springer, 05.2022)The space–time fractional Telegraph equation and the space–time fractional modifed thirdorder Kdv equations are signifcant molding equations in theoretic physics, mathematical physics, plasma physics also other felds of ... 
An algorithm for numerical solution of some nonlinear multi dimensional parabolic partial differential equations [formula presented]
(Elsevier, 11.2021)In this research paper, a numerical method, named the threestep Ultraspherical wavelet collocation method, is presented for solving some nonlinear multidimensional parabolic partial differential equations. The method is ... 
Analysis of caputo fractionalorder model for COVID19 with lockdown
(SpringerOpen, 03.08.2020)One of the control measures available that are believed to be the most reliable methods of curbing the spread of coronavirus at the moment if they were to be successfully applied is lockdown. In this paper a mathematical ... 
Analysis of fractionalorder nonlinear dynamic systems under Caputo differential operator
(Wiley, 15.09.2021)The current study presents a detailed analysis of two crucial realworld problems under the Caputo fractional derivative in order to deliver some desired results for the ecosystem. In view of the fact that memory effect ... 
Analysis of meningitis model: A case study of northern Nigeria
(AIMS Press, 24.06.2020)A new strain of meningitis emerges in northern Nigeria, which brought a lot of confusion. This is because vaccine and treatment for the old strain was adopted but to no avail. It was later discovered that it was a new ... 
Analysis of novel fractional COVID19 model with reallife data application
(Elsevier, 04.2021)The current work is of interest to introduce a detailed analysis of the novel fractional COVID19 model. Nonlocal fractional operators are one of the most efficient tools in order to understand the dynamics of the disease ... 
Analytic simulation of the synergy of spatialtemporal memory indices with proportional time delay
(Elsevier, 03.2022)In the present work, three spacetime trace parameters are appended to physical systems to analytically outline their mutual impact and to characterize the dynamic behaviors of these systems; namely the proportional time ... 
Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local fractional derivative
(Elsevier, 30.12.2021)Novel solutions for the nonlinear dynamics of Schrödinger equation for polynomial law medium with thirdorder dispersion (TOD), fourthorder dispersion (FOD), and selfsteepening are investigated based in a novel local ... 
Analytical solutions of nonlinear time fractional evaluation equations via unified method with different derivatives and their comparison
(Elsevier, 07.2021)This paper is devoted to addressings the fairly interesting soliton solutions for the time fractional combined Kortewegde Vriesmodified Kortewegde Vries equation (KdV–mKdV equation) and modified BurgersKdV equation. ... 
Analytical solutions of the fifthorder time fractional nonlinear evolution equations by the unified method
(World Scientific Publishing, 20.01.2022)This key purpose of this study is to investigate soliton solution of the fifthorder SawadaKotera and CaudreyDoddGibbon equations in the sense of time fractional local Mderivatives. This important goal is achieved by ... 
The analytical solutions of Zoomeron equation via extended rational sincos and sinhcosh method
(IOP Publishing, 2021)In this study, we investigate the nonlinear Zoomeron equation by using the extended rational sin − cos and sinh − cosh methods. We successfully constructed some important solutions such as singular periodic wave, periodic ... 
Analytical solutions to the fractional lakshmananporseziandaniel model
(Springer, 01.2022)A new local fractionalorder derivative operator is introduced and the Lakshmanan–Porsezian–Daniel (LPD) model is interpreted via this operator. New analytical solutions to the LPD equation is presented by Jacobi elliptic ... 
An application of genocchi wavelets for solving the fractional rosenau hyman equation
(Elsevier, 12.2021)In this research, Genocchi wavelets method, a quite new type of waveletlike basis, is adopted to obtain a numerical solution for the classical and timefractional RosenauHyman or K(n,n) equation arising in the formation ... 
Applications of haar wavelet finite difference hybrid method and ıts convergence for hyperbolic nonlinear schrödinger equation with energy and mass conversion
(MDPI, 01.12.2021)This article is concerned with the numerical solution of nonlinear hyperbolic Schro¨dinger equations (NHSEs) via an efficient Haar wavelet collocation method (HWCM). The time derivative is approximated in the governing ... 
Applications of the extended rational sinecosine and sinhcosh techniques to some nonlinear complex models arising in mathematical physics
(Sciendo, 01.07.2021)This study presents the applications of the extended rational sinecosine/sinhcosh schemes to the KleinGordonZakharov equations and the (2+1)dimensional Maccari system. Various wave solutions such as singular periodic, ... 
The asymptotic behavior of solutions of discrete nonlinear fractional equations
(Walter de Gruyter, 10.2020)In this study, we consider a class of nonlinear fractional difference equa tions following form: Delta (a(t) g(Delta(alpha)x(t))) + F (t, Sigma(s+t0) (t1+alpha) (t  s  1)((alpha)) x (s) ) =0, where t is an element of ... 
Attitude of the modulation instability gain in oppositely directed coupler with the effects of the intrapulse raman scattering and saturable function
(Elsevier, 12.2021)To establish the effects of the HigherOrder Dispersion (HOD) and Raman Scattering (RS) on ModulationInstability (MI) in the presence of the Saturable Function (SF), it is used the Coupled Nonlinear SchrödingerEquation ... 
Bifurcation of new optical solitary wave solutions for the nonlinear longshort wave interaction system via two improved models of (G′G) expansion method
(Springer, 09.2021)This study performs two recent methods on the nonlinear longshort wave interaction system (NLSWIS) to obtain novel formulas of solitary solutions representing an optical feld that does not alter by multiplication a sensitive ...