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The solution of certain triple q-integral equations in fractional q-calculus approach

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Abstract In this paper, we consider a certain system of triple q -integral equations, where the kernel is the third Jackson q -Bessel functions. We give two solutions by using… Click to show full abstract

Abstract In this paper, we consider a certain system of triple q -integral equations, where the kernel is the third Jackson q -Bessel functions. We give two solutions by using the fractional q -calculus approach. We study also the system with general kernel. A q -analogue of the result by Cooke and by Williams of 1963 is included.

Keywords: fractional calculus; solution certain; triple integral; integral equations; calculus approach

Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2019

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