Integral transform with the extended generalized mittag-leffler function

Mathematical Modelling and Analysis

Volumn 11, Issue 2, 2006, Pages 173-186

  Kilbas, A A ^a   Koroleva, A A ^a  

^a BELARUSIAN STATE UNIVERSITY   (Belarus)

Author keywords

H function; H transform; Mittag Leffler type function; Spaces of p summable functions

Indexed keywords

BOUNDEDNESS; GENERALIZED MITTAG LEFFLER FUNCTION; H FUNCTION; INTEGRAL TRANSFORM; LEBESGUE; MITTAG-LEFFLER; SPECIAL FUNCTIONS;

INTEGRAL EQUATIONS;

EID: 33748548343     PISSN: 13926292     EISSN: 16483510     Source Type: Journal    
DOI: 10.1080/13926292.2006.9637311     Document Type: Article

References (13)

1. Dzhrbashyan, M.M., 1960. On integral transforms generated by generalized Mittag-Leffler function. Izv. Akad. Nauk Armyan. SSR, Ser. Fiz.-Mat, 13(3):21–63. (in Russian)
2. Dzhrbashyan, M.M., 1968. Integral Transforms and Representations of Functions in the Complex Domain, Moscow:Nauka. (Russian)
3. Dzhrbashyan, M.M., 1993. Harmonic Analysis and Boundary Value Problems in the Complex Domain. Operator Theory:Advances and Applications, volume 65, Basel:Birkhauser Verlag.
4. Erdelyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F.G., 1953-1981. Higher Transcendental functions, volume 2, New York-Toronto-London Krieger, Melbourne, Florida:McGraw-Hill.
5. Erdelyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F.G., 1955. Higher Transcendental Functions, volume 3, New York-Toronto-London, Krieger, Melbourne, Florida:McGraw-Hill. 1981
6. Hadid, S.B., and Luchko, Y.F., 1996. An operational metthod for solving fractional differential equation of an arbitrary real order. Panamer. Math. J., 6(1):57–73.
7. Kilbas, A.A., and Koroleva, A.A., 2005. Generalised Mittag-Leffler function and its extension Tr. Inst. Mat. Minsk, 13(1):43–52. (in Russian)
8. Kilbas, A.A., and Saigo, M., 2004. H -Transform. Theory and Applications, Boca Raton-London-New York-Washington, D.C.:Chapman and Hall/CRC.
9. Kilbas, A.A., and Trujilo, J.J., 2001. Differential equations of fractional order:methods, results and problems. Appl. Anal., 78(1–2):153–192.
10. Mathai, A.M., and Saxena, R.K., 1978. The H-Function with Applications in Statistics and other Disciplines, New York-London-Sydney:Halsted Press.
11. Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., 1990. Integrals and Series, volume 3. More Special Functions, New York:Gordon and Breach.
12. Samko, S.G., Kilbas, A.A, and Marichev, O.I., 1993. Fractional Integrals and Derivatives. Theory and Applications, Yverdon:Gordon and Breach.
13. Srivastava, H.M., Gupta, K.C, and Goyal, S.L., 1982. The H -Function of One and Two Variables with Applications, volume 6, New-Delhi-Madras:South Asian Publishers.