Baleanu, DumitruAl-Omari, Shrideh Khalaf QasemBaleanu, DumitruPurohit, Sunil D.2019-12-232019-12-232018Al-Omari, Shrideh K. Q.; Baleanu, Dumitru; Purohit, Sunil D., "Some results for Laplace-type integral operator in quantum calculus", Advances in Difference Equations, (April 2018).1687-1847https://hdl.handle.net/20.500.12416/2240In the present article, we wish to discuss q-analogues of Laplace-type integrals on diverse types of q-special functions involving Fox's H-q-functions. Some of the discussed functions are the q-Bessel functions of the first kind, the q-Bessel functions of the second kind, the q-Bessel functions of the third kind, and the q-Struve functions as well. Also, we obtain some associated results related to q-analogues of the Laplace-type integral on hyperbolic sine (cosine) functions and some others of exponential order type as an application to the given theory.eninfo:eu-repo/semantics/openAccessJ(V)(X;Q) FunctionY-V(X;Q) FunctionK-V(X;Q) FunctionH-V(X;Q) FunctionLaplace-Type IntegralArticle10.1186/s13662-018-1567-1