• Ram Niwas Meghwal
• Dr. K.G. Bhadana

The object of this paper is to solve an integral equation of convolution form having H-function of two variable as it’s kernel. Some known results are obtained as special cases In the present paper we use a fractional differential operator and to study the Multivariable I- function with Laplace Transform. In this paper we establish two Multiplication formulas for the Multivariable I-function. We determine some new and known results for the above function, a number of known results for other simple function follows as special case of our results. Also using convolution of an integral equation with I-Function as its kernels. Kumbhat R.K. Khan Arif M [14] & I-Function of one variable as Sexena [9] we get new important results

"Fractional Differential Operators of Laplace Transforms Involving Multivariable I –Function", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 4, page no.c332-c337, April-2024, Available :http://www.jetir.org/papers/JETIR2404240.pdf

"Fractional Differential Operators of Laplace Transforms Involving Multivariable I –Function", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 4, page no. ppc332-c337, April-2024, Available at : http://www.jetir.org/papers/JETIR2404240.pdf