Pranay Goswami

Nov 25, 2024 | mdpi.com | Mohammed Alshehri |Ashish Kumar |Pranay Goswami |Saad Althobaiti

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Jun 6, 2023 | onlinelibrary.wiley.com | Ruchi Sharma |Pranay Goswami |Ravi Dubey

Abstract In this paper, a new fractional derivative operator is introduced with the help of Lonezo–Hartely function (G-function). Further, with the help of this fractional derivative operator, a new fractional diffusion equation is proposed and solved analytically with the help of Laplace transform. Some applications related to the operator are also discussed in corollaries. CONFLICT OF INTEREST STATEMENT The authors declare that they have no potential conflict of interest.