A. Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
[ 1 ] - New Integral Transform for Solving Nonlinear Partial Dierential Equations of fractional order
In this work, we have applied Elzaki transform and He's homotopy perturbation method to solvepartial dierential equation (PDEs) with time-fractional derivative. With help He's homotopy per-turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopyperturbation method in order to reformulate initial value problem. Some illustrative examples aregiven in ord...
[ 2 ] - On the determination of asymptotic formula of the nodal points for the Sturm-Liouville equation with one turning point
In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. Furthermore, we obtain the zeros of eigenfunctions.
[ 3 ] - A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
This paper is devoted to the proof of the unique solvability ofthe inverse problems for second-order differential operators withregular singularities. It is shown that the potential functioncan be determined from spectral data, also we prove a uniquenesstheorem in the inverse problem.
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