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This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.
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참고문헌 (18)
참고문헌 신청
M. A. Chaudhry / 1997 / Extension of Euler's beta function / J. Comput. Appl. Math 78:19~32
M. A. Chaudhry / 2004 / Extended hyperge-ometric and confluent hypergeometric functions / Appl. Math. Comput 159(2):589~602
M. A. Chaudhry / 2001 / On a Class of Incomplete Gamma Functions with Applications / Chapman and Hall
A. Chouhan / 2012 / On solution of generalized kinetic equation of frac-tional order / Intern. J. Math. Sci. Applic 2(2):813~818
B. B. Jaimini / 2012 / On certain fractional differential equations involving generalized multivariable Mittag-Leffler function / Note Mat 32(2):141~156
M. A. Chaudhry / 2004 / Extended hyperge-ometric and confluent hypergeometric functions / Appl. Math. Comput 159(2):589~602
M. A. Chaudhry / 2001 / On a Class of Incomplete Gamma Functions with Applications / Chapman and Hall
A. Chouhan / 2012 / On solution of generalized kinetic equation of frac-tional order / Intern. J. Math. Sci. Applic 2(2):813~818
B. B. Jaimini / 2012 / On certain fractional differential equations involving generalized multivariable Mittag-Leffler function / Note Mat 32(2):141~156
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