and Applied Analysis 3 For each complex number x,ΨP x define a linear mapping of C|N| into C. If anyNj is zero, Ψ i,j P is the empty matrix for all i and the corresponding column of matrices in ΨP is absent. If Nj 0 for all j,ΨP x is defined to be the unique linear mapping of {0} C0 into C; its matrix representation is then the empty matrix. In particular consider ΨP x ( x4 2x2 1 − 2x 3x4 2x 4x3 )

The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogona...

<p style='text-indent:20px;'>In this article, we have investigated certain definite integrals and various integral transforms of the generalized multi-index Bessel function, such as Euler transform, Laplace Whittaker K-transform Fourier transforms. Also found applications problem on fractional kinetic equation pertaining to function using Sumudu transform technique. Mittage-Leffler is use...

This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is successfully implemented in combination with iterative method to obtain exact solutions of nonlinear partial differential equations (NLPDEs) by considering specified conditions. The terms these were determined using successive procedure. proposed technique has advantage generating solutions, and it easy apply analyt...

In this study, we present a new general solution to rational epidemiological mathematical model via recent intelligent method called the natural transform homotopy analysis (NTHAM), which combines two methods: (NTM) and (HAM). To assess precision reliability of method, compared obtained results with those Laplace perturbation (LHPM) as well q-homotopy Sumudu (q-HASTM), revealed that NTHAM is mo...