Applications of fractional calculus in solving Abel-type integral equations: Surface–volume reaction problem
نویسندگان
چکیده
منابع مشابه
Solving Abel Integral Equations of First Kind via Fractional Calculus
We give a new method for numerically solving Abel integral equations of first kind. An estimation for the error is obtained. The method is based on approximations of fractional integrals and Caputo derivatives. Using trapezoidal rule and Computer Algebra System Maple, the exact and approximation values of three Abel integral equations are found, illustrating the effectiveness of the proposed ap...
متن کاملFractional Calculus for Solving Abel’s Integral Equations Using Chebyshev Polynomials
Abstract In this paper, the numerical method for solving Abel’s integral equations is presented. This method is based on fractional calculus. Also, Chebyshev polynomials are utilized to apply fractional properties for solving Abel’s integral equations of the first and second kind. The fractional operator is considered in the sense of RiemannLiouville. Although Abel’s integral equations as singu...
متن کاملFRACTIONAL CALCULUS : Integral and Differential Equations of Fractional Order
. . . . . . . . . . . . . . . . . . . . . . . . . p. 223
متن کاملNumerical Method For Solving Fuzzy Abel Integral Equations
The fuzzy differential and integral equations are important part of the fuzzy analysis theory. Park et al. [8] have considered the existence of solution of fuzzy integral equation in Banach space and Subrahmaniam and Sudarsanam [12] proved the existence of solution of fuzzy functional equations. An integral equation is called singular if either the range of integration is infinite or the kernel...
متن کاملModified New Iterative Method for Solving Nonlinear Abel Type Integral Equations
Abstract: In this article, the approximate analytical solutions of the linear and nonlinear Abel type integral equation are obtained with the help of analytical method of linear and nonlinear problems called the Modified New Iterative Method (MNIM). By choosing initial value, the explicit solution of the integral equation for different examples have been solved which demonstrate the effectivene...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2017
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.12.005