In this paper, the optimal homotopy analysis method is applied to solve (1+ 1)-dimensional
time-fractional coupled nonlinear Schrödinger equations. The proposed method is a …

This research investigates the time fractional Ivancevic option pricing model and presents
two distinct solution methods: the invariant subspace method for obtaining exact solutions …

This paper systematically explains how to apply the invariant subspace method using
variable transformation for finding the exact solutions of the (k+ 1)-dimensional nonlinear …

In this paper, we investigate the exact solutions of a nonlinear variable coefficients time
fractional biological population model using the invariant subspace method. The subspaces …

This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …

In this study, a modified fractional form of FitzHugh-Nagumo equation is investigated via a
newly developed semi-analytical method. The classical equation has been modified with a …

In this paper, a semi-discrete fractional derivative complex coupled dispersionless system is
proposed. The properties of M-fractional derivative are utilized to convert discrete M …

In the present paper, the optimal auxiliary function method (OAFM) has been extended for
the first time to fractional-order partial differential equations (FPDEs) with convergence …

In this paper, a generalized quasi-1D Bose–Einstein condensate system with contact
repulsion and dipole–dipole attraction (QBECS) and with the local M-derivative of order α is …

In this article, we utilize the finite Sine-Fourier transform and the Laplace transform for
solving fractional partial differential equations with regularized Hilfer-Prabhakar derivative …