Dirac equation with position-dependent mass and Coulomb-like field in Hausdorff dimension

RA El-Nabulsi - Few-Body Systems, 2020 - Springer
Dirac equation with spatially or position-dependent mass and an attractive Coulomb-like
field is constructed in Hausdorff dimension of order 0< α ≤ 1 0< α≤ 1. The lower and upper …

Solution of Fractional Kinetic Equations Associated with the (p, q)‐Mathieu‐Type Series

DL Suthar, SD Purohit, S Araci - Discrete Dynamics in Nature …, 2020 - Wiley Online Library
In this paper, our aim is to finding the solutions of the fractional kinetic equation related with
the (p, q)‐Mathieu‐type series through the procedure of Sumudu and Laplace transforms …

On solving fractional higher-order equations via artificial neural networks

A Jafarian, R Rezaei… - Iranian Journal of Science …, 2022 - Springer
Recently, different structures of artificial neural networks (shortly ANNs) have been proposed
for the modeling and simulation of many real-world complex phenomena. The current …

Approximate Solution of GCF PDM Schrödinger Equation for a Symmetrical Modified Pöschl–Teller Potential by GCF Laplace Transform Method

S Wibowo, A Suparmi, CR Indrati, C Cari - International Journal of …, 2023 - Springer
In this paper, we introduce a new definition of the general conformable fractional (GCF)
Laplace transform with respect to the function Φ generated by the fractional conformable …

Fractional q-Calculus Operators Pertaining to the q-Analogue of M-Function and Its Application to Fractional q-Kinetic Equations

B Shimelis, DL Suthar, D Kumar - Axioms, 2024 - mdpi.com
In this article, the authors introduce the q-analogue of the M-function, and establish four
theorems related to the Riemann–Liouville fractional q-calculus operators pertaining to the …

A detailed study on a new -dimensional mKdV equation involving the Caputo–Fabrizio time-fractional derivative

K Hosseini, M Ilie, M Mirzazadeh, D Baleanu - Advances in Difference …, 2020 - Springer
The present article aims to present a comprehensive study on a nonlinear time-fractional
model involving the Caputo–Fabrizio (CF) derivative. More explicitly, a new (2+ 1) (2+1) …

[PDF][PDF] Fractional calculus formulas for Mathieu-type series and generalized Mittag-Leffler function

O Khan, S Araci, M Saif - J. Math. Comput. Sci, 2020 - academia.edu
Fractional calculus is allowing integrals and derivatives of any positive order (the term
'fractional'kept only for historical reasons), which can be considered a branch of …

[PDF][PDF] Certain integral formulae involving incomplete I-functions

S Bhatter, K Jangid, S Meena… - Science & Technology …, 2021 - thaiscience.info
Certain Integral Formulae Involving Incomplete 𝐼-Functions Page 1 P-ISSN 2586-9000 E-ISSN
2586-9027 Homepage : https://tci-thaijo.org/index.php/SciTechAsia Science & Technology Asia …

On solution of fractional kinetic equation involving Riemann xi function via Sumudu transform

M Aychluh - International Journal of Mathematics for Industry, 2023 - World Scientific
Several significant questions of mathematics and mathematical physics have been
effectively explained and answered through the use of fractional kinetic equations …

Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu transform

O Yağcı, R Şahin - … Faculty of Sciences University of Ankara Series …, 2021 - dergipark.org.tr
Fractional kinetic equations (FKEs) comprising a large array of special functions have been
extensively and successfully applied in specification and solving many significant problems …