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a study on numerical algorithms for differential equations in two cases q-calculus and (p,q)-calculus
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نویسنده
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ahmadkhanlu asghar ,khoshvaghti leila ,rezapour shahram
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منبع
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journal of mathematical extension - 2023 - دوره : 17 - شماره : 1 - صفحه:1 -38
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چکیده
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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 xed point theorems in this study. we provide two examples, one by de nition of the q-derivative and the other by (p, q)-derivative. we compare the rate of convergence of the numerical method. we like to clear some facts on (p, q)-calculus. the data from our numerical calculations show well that q-calculus works better than (p, q)-calculus in each case.
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کلیدواژه
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q-derivative ,(p ,q)-derivative ,fixed point ,generalization ,caputo derivative ,numerical algorithm
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آدرس
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azarbaijan shahid madani university, department of mathematics, iran, azarbaijan shahid madani university, department of mathematics, iran, azarbaijan shahid madani university, department of mathematics, iran
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پست الکترونیکی
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sh.rezapour@azaruniv.ac.ir
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Authors
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