Results 71 to 80 of about 1,994 (230)

Evaluating Complex Inverse Formulas for q-Sumudu Transforms

WSEAS TRANSACTIONS ON MATHEMATICS, 2023
In this paper, q-analogues of the Sumudu transform, along with an inversion formula and some explicit computations, are presented. This work essentially focuses on q-analogues of the inverse Sumudu transform and the construction method of the inversion formula via a path integral along a Bromwich contour.
Durmuş Albayrak, Faruk Uçar, Sunil Dutt Purohit   +2 more
openaire   +1 more source

A note on the comparison between laplace and Sumudu transforms. [PDF]

, 2011
In this paper, we discuss the existence of double Sumudu transform and study relationships between Laplace and Sumudu transforms. Further, we apply two transforms to solve linear ordinary differential equations with constant coefficients and non constant
Eltayeb, Hassan, Kilicman, Adem, Mohd Atan, Kamel Ariffin   +2 more
core  

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

Application of the Double Sumudu-Generalized Laplace Transform Decomposition Method to Solve Singular Pseudo-Hyperbolic Equations [PDF]

, 2023
Hassan Eltayeb
openalex   +1 more source

Statistical Interparticle Potential of an Ideal Gas of Non-Abelian Anyons

, 2012
We determine and study the statistical interparticle potential of an ideal system of non-Abelian Chern-Simons (NACS) particles, comparing our results with the corresponding results of an ideal gas of Abelian anyons.
Andrea Trombettoni, Bateman H, Desbois G, Desbois J, Dunne G V, Francesco Mancarella, Giuseppe Mussardo, Gradshteyn I S, Huang K, Huang W H, Khare A, Lerda A, Olver F W J, Pathria R K, Prudnikov A P, Verlinde E, Watson G N, Wilczek F   +17 more
core   +1 more source

The Classical Sumudu Transform and its q-Image of the Most Generalized Hypergeometric and Wright-Type Hypergeometric Functions [PDF]

, 2017
The q- Calculus has served as a bridge between mathematics and physics, particularly in case of quantum physics. The q-generalizations of mathematical concepts like Laplace, Fourier and Sumudu transforms, Hypergeometric functions etc.
, Altaf Ahmad, Renu Jain, D. K. Jain, Farooq Ahmad
core   +2 more sources

Trans‐Oceanic Distributed Sensing of Tides Over Telecommunication Cable Between Portugal and Brazil

Geophysical Research Letters, Volume 52, Issue 12, 28 June 2025.
Abstract Geophysical sensing in the open ocean is both costly and technically challenging. Here we developed a novel distributed fiber optic sensing technique that employs microwave modulation for phase measurement in signals returned from submarine repeaters.
Meichen Liu, Luis Costa, Pierre Mertz, Siddharth Varughese, Sumudu Edirisinghe, Valey Kamalov, Zhongwen Zhan   +6 more
wiley   +1 more source

A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for the fractional differential equations and fractional kinetic equations expressed in terms of Prabhakar’s Mittag ...
B. B. Jaimini, Meenu, Suman Sharma, S. D. Purohit, D. L. Suthar, Deepali   +5 more
wiley   +1 more source

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various significant problems in physics and astrophysics have been successfully solved using fractional kinetic equations (FKEs) and special functions. This study applies the Elzaki integral transform to FKEs incorporating orthogonal polynomials and their generating functions.
Mulualem Aychluh, D. L. Suthar, S. D. Purohit, Biniyam Shimelis, Ivan Giorgio   +4 more
wiley   +1 more source

Analytical Solutions of Heat‐Like Equation Using Elzaki Transform Variational Iteration Method: Black–Scholes Equation

Complexity, Volume 2025, Issue 1, 2025.
This paper presents the application of the Elzaki variational iteration method to solve the Black–Scholes model, which can be formulated as a heat‐like partial differential equation with specified initial conditions. The Black–Scholes equation is fundamental in financial mathematics for option pricing, traditionally solved using numerical methods that ...
Din Prathumwan, Inthira Chaiya, Kamonchat Trachoo, Abdellatif Ben Makhlouf   +3 more
wiley   +1 more source