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R(p; q)-calculus: differentiation and integration
R(p; q)-calculus: differentiation and integrationopenaire +1 more source
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Classical inequalities for (p, q)-calculus on finite intervals
Boletín de la Sociedad Matemática Mexicana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, Pankaj, Manglik, Rohit
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Finite Mellin transform for $$(p,q)$$ and symmetric calculus
Journal of Pseudo-Differential Operators and Applications, 2020The authors filled several pages of the article by already existing results in the listed references. The results presented in Sections 4 (used \(\sigma=\frac{\pi}{log(q/p)}\)) and 7 (used \(\sigma=\frac{2\pi}{log(qp)}\)) are developed on the basis of slight differences in the values of \(\sigma\) and \(w\).
Jain, Pankaj +2 more
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2023
Summary: Looking at the history of fractional derivatives, it can be clearly seen that various generalizations have been presented for it regularly by researchers. Perhaps, in the meantime, the derivative of the \(q\)-fraction has received more attention due to the provision of discrete space and the entry of the computer into the computing scene.
Canbulat, A., Sakar, F. M.
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Summary: Looking at the history of fractional derivatives, it can be clearly seen that various generalizations have been presented for it regularly by researchers. Perhaps, in the meantime, the derivative of the \(q\)-fraction has received more attention due to the provision of discrete space and the entry of the computer into the computing scene.
Canbulat, A., Sakar, F. M.
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2023
Summary: We investigate the existence and uniqueness of the solution and also the rate of convergence of a numerical method for a fractional differential equation in both \(q\)-calculus and \((p, q)\)-calculus versions. We use the Banach and Schauder fixed point theorems in this study.
Rezapour, Shahram +2 more
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Summary: We investigate the existence and uniqueness of the solution and also the rate of convergence of a numerical method for a fractional differential equation in both \(q\)-calculus and \((p, q)\)-calculus versions. We use the Banach and Schauder fixed point theorems in this study.
Rezapour, Shahram +2 more
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