New solutions of time-space fractional coupled Schrödinger systems-Reference-Cited by-同舟云学术

New solutions of time-space fractional coupled Schrödinger systems

Published:2023 Issue:11 Volume:8 Page:27033-27051
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Qayyum Mubashir¹,Ahmad Efaza¹,Ahmad Hijaz²³⁴,Almohsen Bandar⁵

Affiliation:

1. Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan

2. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy

3. Near East University, Operational Research Center in Healthcare, Nicosia, PC: 99138, TRNC Mersin 10, Turkey

4. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

5. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Abstract

<abstract><p>The current manuscript focuses on the solution and analysis of space and time fractional coupled Schrödinger system that belongs to a class of evolution equations. These systems encounter in different fields related to plasma waves, optics, and quantum physics. The fractional He-Laplace approach is proposed for the series form solutions of fractional systems. This approach contains hybrid of Laplace transform and homotopy perturbation along with Caputo fractional derivative. The current study provide new results on time and space fractional coupled Schrödinger systems which are not captured in existing literature. Reliability of proposed algorithm in both time and space fractional scenarios is observed through residual error concept throughout fractional domains. The effect of fractional parameters on wave profiles are analyzed numerically and graphically as 2D and 3D illustrations. Analysis reveals that proposed algorithm is suitable for non-linear time-space fractional systems encountering in different fields of sciences.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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