Results 41 to 50 of about 2,012 (99)

A note on the Sumudu transforms and differential equations [PDF]

, 2010
In this work we introduce some relationship between Sumudu and Laplace transforms, further; for the comparison purpose, we apply both transforms to solve differential equations to see the differences and similari- ties.
Eltayeb, Hassan, Kılıcman, Adem
core  

Inversion formulas for q-Riemann–Liouville and q-Weyl transforms [PDF]

, 2007
We study fractional transforms associated with q-Bessel operator which is useful to inverse q-Riemann–Liouville and q-Weyl ...
Bouzeffour, Fethi
core   +1 more source

An Efficient Numerical Method for Nonlinear Time Fractional Hyperbolic Partial Differential Equations Based on Fractional Shehu Transform Iterative Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In science and engineering, nonlinear time‐fractional partial differential equations (NTFPDEs) are thought to be a useful tool for describing several natural and physical processes. It is tough to come up with analytical answers for these issues. Finding answers to NTFPDEs is therefore a crucial component of scientific study.
Alemu Senbeta Bekela, Alemayehu Tamirie Deresse, Kannan Krithivasan   +2 more
wiley   +1 more source

Discrete Inverse Sumudu Transform Application to Whittaker Equation and Zettl Equation [PDF]

, 2018
Inverse Sumudu transform multiple shifting properties are used to design methodology for solving ordinary differential equations. Then algorithm applied to solve Whittaker and Zettl equations to get their new exact solutions and profiles which shown ...
Fethi Bin Muhammad Belgacem, Rathinavel Silambarasan, Kottakkaran Sooppy Nisar   +2 more
core   +1 more source

Existence of the Conformable Double Laplace–Elzaki Transform and Applications

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this study, we introduce and establish the existence of the conformable fractional Laplace–Elzaki transform (CLET), a new integral transform designed to handle fractional‐order problems. Several fundamental properties and theorems of the CLET are derived and discussed.
Zaid Zaqzaq, Sharifa Al-Sharif, Waseem Ghazi Alshanti, Zhihua Zhang   +3 more
wiley   +1 more source

Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively.
Muneera Abdullah Qadha, Sarah Abdullah Qadha, Yusuf Gurefe   +2 more
wiley   +1 more source

Sinusoidal heating on convective heat transfer of nanofluid under differential technique

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 11, November 2024.
Abstract Sinusoidal convection describes a smooth and repetitive heat transfer oscillation that reasonably calculates the optimal heat transfer for nanoparticle's intermolecular interactions. This study aims to investigate the heat transfer effects of Stokes second problem on the performance of novel fractional differential operators based on ...
Kashif Ali Abro, Qasem M. Al‐Mdallal, Imran Qasim Memon   +2 more
wiley   +1 more source

Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform [PDF]

, 2018
The discrete inverse Sumudu transform method is designed to solve ordinary differential equations and tested for an algebro-geometric equation. The two new sets of exact analytical and complex solutions are gotten through a discrete inverse Sumudu ...
Kilicman, Adem, Silambarasan, Rathinavel, Adem Kılıçman, Rathinavel Silambarasan   +3 more
core   +1 more source

The Efficient Method to Solve the Conformable Time Fractional Benney Equation

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The current study employed the innovative conformable fractional method to analyze the nonlinear Benney equations involving the conformable fractional derivative. Conformable fractional Benney equations have been examined by the conformable q‐Shehu analysis transform method.
Hakkı Güngör, Qingkai Zhao
wiley   +1 more source

An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace‐Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace‐Elzaki transform method with the Adomian decomposition method.
Shams A. Ahmed, Aliaa Burqan
wiley   +1 more source