The solution of certain triple q-integral equations in fractional q-calculus approach
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 o...
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2019-01-01
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| Series: | Arab Journal of Mathematical Sciences |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516617302256 |
| Summary: | 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: q-special functions, Fractional q-integral operator, Triple q-integral equations, Mathematics Subject Classification: primary, secondary |
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| ISSN: | 1319-5166 |