Results 51 to 60 of about 222 (119)
A Generalization of Ramanujan‐Type Integrals
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Recently, Xu, Yin, and Zhou obtained explicit evaluations of the Ramanujan‐type integrals ∫0∞xs−1sinbx/coshax−cosbxdx and ∫0∞xs−1sinbx/coshax+cosbxdx, expressing them in closed form in terms of the gamma function, the Riemann zeta function, and the alternating zeta function.
Irshad Ayoob, Shikha Binwal
wiley +1 more source
The solution of Euler-Cauchy equation using Laplace transform
, 2015 Euler-Cauchy equation is a typical example of ODE with variable coefficients. Since this equation has a simple form, we would like to start from this equation to find the solution of ODEs with variable coefficients.
B. Ghil, Hwajoon Kim
semanticscholar +1 more source
A Study of Third-order KdV and mKdV Equations by Laplace Decomposition Method
, 2022 In this article, the Laplace decomposition method is implementedto solve nonlinear partial differential equations. Third-order KdVand mKdV equations with initial conditions have been considered to checkthe validity of the proposed method.
S. S. Handibag +1 more
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper presents a generalized Laplace transform, denoted by Lϕ, defined through a strictly increasing kernel function ϕ(t). Unlike prior works that focus on formal definitions, our framework unifies classical, Gaussian, and Mellin‐type transforms while providing a systematic operational calculus.
Rubayyi T. Alqahtani +2 more
wiley +1 more source
Unification of the Bernstein-type polynomials and their applications
, 2013 In this paper, we investigate some new identities related to the unification of the Bernstein-type polynomials, Bernoulli polynomials, Euler numbers and Stirling numbers of the second kind. We also give some remarks and applications of the Bernstein-type
Y. Şimşek
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A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels
Journal of Mathematics, Volume 2026, Issue 1, 2026.This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit +4 more
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Demonstratio MathematicaIn this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj +1 more source
Wiman's Inequality for the Laplace Integrals
, 2014 We find unimprovable conditions for the Laplace-Stieltjes type integrals under which the Wiman-type inequality holds.
A. Kuryliak, I. Ye. Ovchar, O. Skaskiv
semanticscholar +1 more source
Renewal Processes of Mittag-Leffler and Wright Type [PDF]
, 2005 2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the ...
Gorenflo, Rudolf +3 more
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag +5 more
wiley +1 more source