Unified theorems involvingH-function transform and Meijer Bessel function transform

Some Relations between Stieltjes Transform and Hankel Transform with Applications

“…Several authors have made significant contributions for the development of integral transforms through a series of papers. Among other eminent authors, Bhonsle [1,2], Sharma [5] Gupta and Agrawal [6], Goyal and Vasishta [7], Goyal and Jain [8], Saxena [14], Srivastava [15,16,18], Srivastava and Vyas [17], Srivastava and Tuan [19], Srivastava and Y ürekli [20] and Yakubovich and Martins [21] have studied and explored Laplace, Meijer, Stieltjes, H− function, Kontorovitch-Lebdev and Hankel transforms at large in the form of generalizations, convolution and interconnecting theorems. Bhonsle [1,2], Sharma [5], Saxena [14], Srivastava [15,16], Srivastava and Vyas [17] have obtained integral formulae involving Legendre functions of the first kind, Bessel functions of the first kind and modified Bessel functions of the second kind.…”

On the generalized fractional Laplace transform

“…Several scholars including Bhonsle [1,2], Gupta and Agrawal [7], Goyal and Vasishta [8], Goyal and Jain [9], Kumar [16,17,18], Srivastava [28,29,30], Srivastava and Tuan [32], Srivastava and Y ürekli [33] and Yakubovich and Martins [35] have studied and explored Laplace, Meijer, Stieltjes, Hankel and H-function transforms at large in the form of generalizations, convolution and connecting theorems. F. Jarad and T. Abdeljawad [12] have introduced, studied and explored the generalized Laplace transform and applied the same for the generalized fractional integrals and derivatives, and to solve some generalized fractional differential equations in the frame of derivatives of a function with respect to another function.…”