The Rishi Transform method for solving multi-high order fractional differential equations with constant coefficients

Autor: Ali Turab, Hozan Hilmi, Juan L.G. Guirao, Shabaz Jalil, Nejmeddine Chorfi, Pshtiwan Othman Mohammed

Publikováno v: AIMS Mathematics, Vol 9, Iss 2, Pp 3798-3809 (2024)

In this paper, we suggest the Rishi transform, which may be used to find the analytic (exact) solution to multi-high-order linear fractional differential equations, where the Riemann-Liouville and Caputo fractional derivatives are used. We first deve

Externí odkaz: https://doaj.org/article/aa7f76fe2dd8493baf196828943dc6e0

Assisting the decision making-A generalization of choice models to handle the binary choices

Autor: Muhammad Arshad, Salman A. Cheema, Juan L.G. Guirao, Juan M. Sánchez, Adrián Valverde

Publikováno v: AIMS Mathematics, Vol 8, Iss 2, Pp 3083-3100 (2023)

This research fundamentally aims at providing a generalized framework to assist the launch of paired comparison models while dealing with discrete binary choices. The purpose is served by exploiting the fundaments of the exponential family of distrib

Externí odkaz: https://doaj.org/article/29a659f2ccb14f0ebaea04a6e3ee86b9

Neuro-Swarm heuristic using interior-point algorithm to solve a third kind of multi-singular nonlinear system

Autor: Zulqurnain Sabir, Muhammad Asif Zahoor Raja, Aldawoud Kamal, Juan L.G. Guirao, Dac-Nhuong Le, Tareq Saeed, Mohamad Salama

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 5, Pp 5285-5308 (2021)

The purpose of the present work is to solve a third kind of multi-singular nonlinear system using the neuro-swarm computing solver based on the artificial neural networks (ANNs) optimized with the effectiveness of particle swarm optimization (PSO) ma

Externí odkaz: https://doaj.org/article/1e1f9f37eea14b2d93216283adc5ac02

On the modulation instability analysis and deeper properties of the cubic nonlinear Schrödinger’s equation with repulsive δ-potential

Autor: Yi-Xia Li, Ercan Celik, Juan L.G. Guirao, Tareq Saeed, Haci Mehmet Baskonus

Publikováno v: Results in Physics, Vol 25, Iss , Pp 104303- (2021)

This projected work applies the generalized exponential rational function method to extract the complex, trigonometric, hyperbolic, dark bright soliton solutions of the cubic nonlinear Schrödinger’s equation. Moreover, trigonometric, complex, stra

Externí odkaz: https://doaj.org/article/985fe646b9e74391b2a66d932b859169

Some Erdé lyi-Kober Fractional Integrals of the Extended Hypergeometric Functions

Autor: S. Jain, R. Goyal, P. Agarwal, Clemente Cesarano, Juan L.G. Guirao

Publikováno v: Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering ISBN: 9789815079333

This paper aims to establish some new formulas and results related to the Erdélyi-Kober fractional integral operator applied to the extended hypergeometric functions. The results are expressed as the Hadamard product of the extended and confluent hy

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd870c1ab4d5286dcd341ed3efc7dc0f
https://doi.org/10.2174/9789815079333123010016