Homotopy Analysis Method using Jumarie’s Approach for Multi-Dimensional Nonlinear Schrödinger Equations

Authors

Naveed ImranFollow
Raja Mehmood Khan, HITEC colleges, HIT Taxila CanttFollow

Corresponding Author

Naveed Imran

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations

Keywords

Modified Riemann–Liouville derivative, Modified Riemann– fractional differential equations, Schrödinger Equations.

Abstract

In this paper, we suggest a fractional functional for the Homotopy Analysis Method (HAM) to solve the nonlinear fractional order partial differential equations with fractional order initial conditions by using the modified Riemann–Liouville fractional derivative proposed by G. Jumarie. Graphs have been plotted for different values of α , which clearly reflect the reliability of proposed scheme

How to Cite This Article

Imran, Naveed and Mehmood Khan, Raja (2023) "Homotopy Analysis Method using Jumarie’s Approach for Multi-Dimensional Nonlinear Schrödinger Equations," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 2: Iss. 1, Article 1.
DOI: https://doi.org/10.54938/ijemdm.2023.02.1.93

Receive Date

2022-07-19

Publication Date

5-30-2023