Extorial Solutions for Fractional and Partial Difference Equations with Applications: A Scientific Explanation | Chapter 4 | Theory and Practice of Mathematics and Computer Science Vol. 10

 In the extension of the exponential function indicated by, we create a new function that is defined by substituting polynomials with polynomial factorials e^(k)l(1) an novel and one-of-a-kind offering, dubbed extorial function. It is indicated which identities must be used with difference operators and factorials. These identities are used to solve the difference and discrete partial difference equations for heat and current flows in the RL circuit. Numerical verifications back up the above findings. The solution for current flow in the RL circuit is effectively generated based on the findings after constructing the current flow as discrete and fractional equations.

Author(s) Details

Dr. G. Britto Antony Xavier
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore‐635601, Tamil Nadu, India.

Dr. S. John Borg
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore‐635601, Tamil Nadu, India.

Mr. S. Jaraldpushparaj
Department of Mathematics, Sacred Heart College, Tirupattur, Vellore‐635601, Tamil Nadu, India.

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