Mathematics Subject Classification: 33D15, 44A10, 44A20
The present paper deals with the evaluation of the q-Laplace transforms
of a product of basic analogues of the Bessel functions. As applications,
several useful special cases have been deduced.

2000 Mathematics Subject Classification: 33D60, 26A33, 33C60
The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.

Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10.
The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It...

Mathematics Subject Classification: 33D60, 33D90, 26A33
Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated. A number of integrals involving various q-functions have been evaluated as applications of the main results.

In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c; z)

The aim of this paper is to study a generalized form of elliptic-type integrals
which unify and extend various families of elliptic-type integrals studied
recently by several authors. In a recent communication [1] we
have obtained recurrence relations and asymptotic formula for this generalized
elliptic-type integral. Here we shall obtain some more results which
are single and multiple integral formulae, differentiation formula, fractional
integral and approximations for this class of generalized...

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