Results 11 to 20 of about 726 (173)
The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation [PDF]
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah +2 more
doaj +3 more sources
Babenko’s Approach to Abel’s Integral Equations [PDF]
Mathematics, 2018 The goal of this paper is to investigate the following Abel’s integral equation of the second kind: y ( t ) + λ Γ ( α ) ∫ 0 t ( t − τ ) α − 1 y ( τ ) d τ = f ( t ) , ( t > 0 ) and its variants by fractional calculus ...
Chenkuan Li, Kyle Clarkson
doaj +3 more sources
New Numerical Approach for Solving Abel’s Integral Equations
Foundations of Computing and Decision Sciences, 2021 In this article, we present an efficient method for solving Abel’s integral equations. This important equation is consisting of an integral equation that is modeling many problems in literature.
Şenel Ayşe Anapalı +2 more
doaj +3 more sources
The Two-Term Abel’s Integral Equation
Journal of Mathematical Extension, 2012 In this article we investigate the two-term Abel’s integral equations. We will do this in two different ways and show that such equation is reducible to an integro−differential equation of Volterra type.
F. M. Maalek Ghaini +2 more
doaj +2 more sources
Solution of Abel's integral equation using Tikhonov regularization [PDF]
Energy Conversion and Resources, 2005 Peer reviewed: YesNRC publication ...
Daun, K. J. +3 more
core +4 more sources
Integrable Abel equations and Vein's Abel equation [PDF]
Mathematical Methods in the Applied Sciences, 2015 12 pages, 4 figures, 17 references, online at Math. Meth. Appl. Sci.
Mancas, S. C., Rosu, H. C.
openaire +4 more sources
The Fibonacci polynomials solution for Abel’s integral equation of second kind [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We suggest a convenient method based on the Fibonacci polynomials and the collocation points for solving approximately the Abel’s integral equation of second kind.
H. Deilami Azodi
doaj +1 more source
SOLVE ABEL’S INTEGRAL EQUATION USING POINT INTERPOLATION MESHLESS METHOD [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2018 In this paper the numerical method for solving Abel,s integral equation are introduced ,this method is based on point interpolation meshless method. Also Radial basis function, zeros of the shifted Legendre polynomial as the collocation points utilized ...
Nahdh. S .m. Al-saif
doaj +1 more source
Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
Advances in Difference Equations, 2020 In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
doaj +1 more source