A generalized fractional integral transform with exponential type kernel

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DOI:

https://doi.org/10.26637/MJM0802/0038

Abstract

We introduce a fractional integral transform which is a generalization of many integral transforms having exponential type kernel and discuss some of its properties. We also ensure the efficiency of the newly introduced fractional integral transform in solving some differential equations of fractional order.

 

Keywords:

Mittag-Leffler function, Integral transforms,, Fractional integral transforms.

Mathematics Subject Classification:

Mathematics
  • R. Aruldoss Department of Mathematics, Government Arts College(Autonomous), Kumbakonam-612002 (Affiliated to Bharathidasan University, Tiruchirapalli, India.),Tamil Nadu, India.
  • R. Anusuya Devi Department of Mathematics, Government Arts College(Autonomous), Kumbakonam-612002 (Affiliated to Bharathidasan University, Tiruchirapalli, India.),Tamil Nadu, India.
  • Pages: 544-550
  • Date Published: 01-04-2020
  • Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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Published

01-04-2020

How to Cite

R. Aruldoss, and R. Anusuya Devi. “A Generalized Fractional Integral Transform With Exponential Type Kernel”. Malaya Journal of Matematik, vol. 8, no. 02, Apr. 2020, pp. 544-50, doi:10.26637/MJM0802/0038.