Results 61 to 70 of about 38,570 (167)
Upadhyaya integral transform: A tool for solving non-linear Volterra integral equations [PDF]
Mathematics and Computational SciencesThese days, integral equations govern a wide range of physical processes, including those related to electricity, mechanics, fluid dynamics, ecology, soil moisture dynamics, shallow water wave propagation, and chemical science.
Hossein Jafari, Sudhanshu Aggarwal
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Integration in terms of exponential integrals and incomplete gamma functions
ACM Communications in Computer Algebra, 2015 Indefinite integration means that given f in some set we want to find g from possibly larger set such that f = g '. When f and g are required to be elementary functions due to work of among others ...
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Indefinite integrals involving the exponential integral function [PDF]
Integral Transforms and Special Functions, 2021 openaire +2 more sources
Ain Shams Engineering JournalThis study explores the paraxial nonlinear Schrödinger equation in Kerr media, a key model for optical fiber systems. Complex wave transformations reduce the model to a nonlinear ODE, enabling the generation of diverse solutions: bright, dark, bright ...
U. Younas +5 more
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Integral Estimates for Laguerre Polynomials with Exponential Weight Function
Russian Mathematics, 2020 This paper deals with the system of functions \(\{\lambda_n\}_{n\in\mathbb N}\) orthogonal with respect to the Sobolev-type inner product \[ \langle f,g \rangle= f(0) g(0)+\int_{0}^\infty f'(x) g'(x) dx. \] These functions are expressed in terms of classical Laguerre polynomials and using several of their properties some asymptotic formulas for the ...
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Calculation of Sommerfeld Integrals in Dipole Radiation Problems
MathematicsThis article proposes asymptotic methods for calculating Sommerfeld integrals, which enable us to calculate the integral using the expansion of a function into an infinite power series at the saddle point, where the role of a rapidly oscillating function
Seil Sautbekov +3 more
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Asymptotic behavior of solutions to wave equations with a memory condition at the boundary
Electronic Journal of Differential Equations, 2001 In this paper, we study the stability of solutions for wave equations whose boundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the
Mauro de Lima Santos
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An innovative multivariate method for exploring soliton dynamics in nonlinear models
Results in EngineeringThis article presents the multivariate generalized exponential rational integral function method (MGERIFM) for addressing the (1+1)-dimensional generalized Kundu-Eckhaus equation (GKEE).
Muhammad Abdaal Bin Iqbal +4 more
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Lipschitz Spaces and Exponentially Integrable Functions [PDF]
Indiana University Mathematics Journal, 1973 openaire +2 more sources
IEEE AccessIn this paper, a novel barrier function-based super-twisting integral terminal sliding mode control algorithm is proposed for a quad-rotor unmanned aerial vehicle (UAV).
Xinxin Chen
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