On novel analytical solution of time-fractional Schrödinger equation within a hybrid transform

DOI10.1007/s40096-022-00455-3OpenAlexW4210798542MaRDI QIDQ6066825

Madeeha Tahir, Saima Rashid, Rehana Ashraf

Publication date: 14 December 2023

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-022-00455-3

zbMATH Keywords

Schrödinger equationgeneralized integral transformexistence and uniqueness analysisnew iterative transform method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (1)

An efficient method for solving fractional Black-Scholes model with index and exponential decay kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations
• Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• An iterative method for solving nonlinear functional equations
• A study on linear and nonlinear Schrödinger equations by the variational iteration method
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A new approach to the cubic Schrödinger equation: an application of the decomposition technique
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations
• Haar wavelet method for the system of integral equations
• The intrinsic structure and properties of Laplace-typed integral transforms
• An algorithm: optimal homotopy asymptotic method for solutions of systems of second-order boundary value problems
• Least-squares residual power series method for the time-fractional differential equations
• Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel
• Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control
• New general integral transform via Atangana-Baleanu derivatives
• Analytical study of fractional nonlinear Schrödinger equation with harmonic oscillator
• A new integral transform for solving higher order linear ordinary Laguerre and Hermite differential equations
• New iterative method based on Laplace decomposition algorithm
• Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
• Application of new iterative transform method and modified fractional homotopy analysis transform method for fractional Fornberg-Whitham equation
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
• Lie symmetry analysis and traveling wave solutions of equal width wave equation

This page was built for publication: On novel analytical solution of time-fractional Schrödinger equation within a hybrid transform