On the Solutions of Some Equations in $(p,q)$-Calculus

Authors : Nihan Turan, Metin Basarır

Pages : 21-27

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Publication Date : 2024-04-30

Article Type : Research Paper

Abstract :In this paper, we introduce the Laplace equation in $(p, q)$-calculus and give the solutions of the equation using the separation method into its variables. We also give the $(p,q)$-calculus version of the equation of motion, which expresses the displacement of a falling field in a resistant environment. Finally, we obtain the solution of the Bernoulli’s equation in $(p,q)$-calculus.
Keywords : Falling Field Problem, Laplace Equation, Bernoulli