INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY

( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET

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SIMULTANEOUS DUAL INTEGRAL EQUATIONS OF CONVOLUTION TYPE

    3 Author(s):  PRAKASH GANIGA , MS PRASHANTH , R.K. SAINI

Vol -  10, Issue- 1 ,         Page(s) : 140 - 150  (2020 ) DOI : https://doi.org/10.32804/RJSET

Abstract

The aim of this paper is to solve a dual integral equation by changing it into an integral equation by use of mellin transform whose kernel involves Generalized Hermite Polynomial with suitable parameter. We believe that there are some more possible way to reduce such dual integral equations using different transform like those of Henkel, Fourier etc. For the sake of example we choose a dual integral equation of certain type and obtained an integral equation by use of fractional operator and mellin transform.

Anil Tiwari , Dr. Archana Lala , Dr. Chitra Singh, 2022. Solution of Dual Integral Equations by Reducing It into an Integral Equation : https://www.researchgate.net/publication/363845258
Dwivedi, A.P. (1971): Certain simultaneous dual integral equations involving H-functions, Ind. J. Math. Soc., Vol. 13, pp. 147-157.
Erdogon, F. and Bahar, L.Y. (l964): On formal solution of simultaneous dual integral equations, J. Soc. Indust. Appl. Math., Vol. 12, pp. 666-675.

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