Results 41 to 50 of about 222 (119)
Convolution Products in L1(R+), Integral Transforms and Fractional Calculus [PDF]
, 2005 Mathematics Subject Classification: 43A20, 26A33 (main), 44A10, 44A15We prove equalities in the Banach algebra L1(R+). We apply them to integral transforms and fractional calculus.* Partially supported by Project BFM2001-1793 of the MCYT-DGI and FEDER ...
Miana, Pedro
core
Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag +5 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 173-179, 2003., 2003 The relationship between the local temperature and the local heat flux has been established for the homogeneous hyperbolic heat equation. This relationship has been written in the form of a convolution integral involving the modified Bessel functions.
Vladimir V. Kulish, Vasily B. Novozhilov
wiley +1 more source
On Hankel Transform of Generalized Mathieu Series [PDF]
, 2009 Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu ...
Tomovski, Živorad
core
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit +4 more
wiley +1 more source
Abelian theorems for transformable Boehmians
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 489-496, 1994., 1993 A class of generalized functions called transformable Boehmians contains a proper subspace that can be identified with the class of Laplace transformable distributions. In this note, we establish some Abelian theorems for transformable Boehmians.
Dennis Nemzer
wiley +1 more source
Solutions of certain initial-boundary value problems via a new extended Laplace transform
Nonlinear EngineeringIn this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya +2 more
doaj +1 more source
On unsteady boundary layer flow of a second grade fluid over a stretching sheet
, 2013 This article describe the unsteady boundary layer flow over a stretching sheet. The governing boundary layer equations are transformed to a non-linear partial differential equation by applying similarity transformations.
I. Ahmad
semanticscholar +1 more source
On Bennett's conjecture and complete monotonicity
Mathematical Inequalities & Applications, 2019 Bennett [1] gave a generalization of Schur’s theorem in order to study various momentpreserving transformations. Recently, Su [5] confirmed a monotonicity conjecture of Bennett which is related to the generalized Schur’s theorem and Haber’s inequality ...
U. Abel, Vitaliy Kushnirevych
semanticscholar +1 more source
Exact Analytical Solutions of Linear DissipativeWave Equations via Laplace Transform Method
, 2021 A wave phenomena evolved day after day, as various conceptsregarding waves appeared with the passage of time. These phenomenaare generally modelled mathematically by partial differential equations(PDEs).
Muhammad Jamil; Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa +2 more
core