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Research Paper | Mathematics | Volume 15 Issue 3, March 2026 | Pages: 670 - 673 | India
Fractional Delay Differential Equation with General Initial Conditions and Difference Order Two
Abstract: In this paper we have solved fractional Delay differential equation whose differential order is ? with general initial conditions. By using Laplace decomposition method. The Fractional derivative is the Caputo fractional Derivative. We solve both linear and non-linear Delay fractional differential difference equation. we extend the result given by differential difference equation for fractional order differential difference equation where the fractional derivative used is caputo fractional derivative. The obtained result is Compared with differential difference equation by putting α=1 and verify the validity of the result and the result hold good.
Keywords: Caputo Fractional derivative, Laplace Transform, Laplace Adomian Decomposition, Differential difference equation
How to Cite?: Rajratana Maroti Kamble, "Fractional Delay Differential Equation with General Initial Conditions and Difference Order Two", Volume 15 Issue 3, March 2026, International Journal of Science and Research (IJSR), Pages: 670-673, https://www.ijsr.net/getabstract.php?paperid=SR26309173811, DOI: https://dx.dx.doi.org/10.21275/SR26309173811