Papers by SUBHABRATA MONDAL
In this article, we present differential transform method for solving a first kind hypersingular ... more In this article, we present differential transform method for solving a first kind hypersingular integral equation in which the kernel is containing a strong singular part and a regular part. Also some simple examples with exact solutions are considered to establish the validity and applicability of the proposed mechanism. Numerical outcomes reveal that our proposed technique works well and has good accuracy.
Communications in Computer and Information Science
The fractional differential transform method is employed here for solving first kind Abel integra... more The fractional differential transform method is employed here for solving first kind Abel integral equation. Abel integral equation occurs in the mathematical modeling of several models in physics, astrophysics, solid mechanics and applied sciences. An analytic technique for solving Abel integral equation of first kind by the proposed method is introduced here. Also illustrative examples with exact solutions are considered to show the validity and applicability of the proposed method. Numerical results reveal that the proposed method works well and has good accuracy. The method introduces a promising tool for solving many linear and nonlinear fractional integral equation.
Communications in Advanced Mathematical Sciences
JOURNAL OF ADVANCES IN MATHEMATICS
The application of fractional differential transform method, developed for differential equations... more The application of fractional differential transform method, developed for differential equations of fractional order, are extended to derive exact analytical solutions of fractional order Abel integral equations. The fractional integrations are described in the Riemann-Liouville sense and fractional derivatives are described in the Caputo sense. Abel integral equation occurs in the mathematical modeling of various problems in physics, astrophysics, solid mechanics and applied sciences. An analytic technique for solving Abel integral equation of first kind by the proposed method is introduced here. Also illustrative examples with exact solutions are considered to show the validity and applicability of the proposed method. Abel integral equation, Differential transform method, Fractional differential transform method.
The solution of a simple hypersingular integral equation is derived here by using two methods,the... more The solution of a simple hypersingular integral equation is derived here by using two methods,the first is based on reducing it to a pair of Abel integral equations while the second is based on expansion of the unknown function in terms of Chebyshev poly-nomials.Both the methods produce the same known solution of the integral equation.
Uploads
Papers by SUBHABRATA MONDAL