GENERALIZATION OF CERTAIN SECOND ORDER ORDINARY DIFFERENTIAL EQUATION OF NISHIMOTO BY THE FRACTIONAL CALCULUS METHOD

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Published: Mar 1, 1992
DOI: https://doi.org/10.5556/j.tkjm.23.1992.4524
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FRACTIONAL CALCULUS

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SHIH-TONG TU
Department of Mat.hematics, Chung Yuan Christian University, Chung Li, Taiwan, R.O.C.
KATSUYUKI NISHIMOTO
College of Engineering, Nihon Univers.ity, Koriyama, Japan.

Abstract




A generalization of theorems derived by Nishimoto ([4], [8] pp. 154-161), for certain second order ordinary differential equation of Fuchs type was reported by S. Owa, K. Nishimoto and their colleagues [7]. In this paper, a new proof for generalization theorems in previous pa­ per and the second generalization theorems for the second order ordinary differential equation of Nishimoto are reported.




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TU, S.-T., & NISHIMOTO, K. (1992). GENERALIZATION OF CERTAIN SECOND ORDER ORDINARY DIFFERENTIAL EQUATION OF NISHIMOTO BY THE FRACTIONAL CALCULUS METHOD. Tamkang Journal of Mathematics, 23(1), 21–31. https://doi.org/10.5556/j.tkjm.23.1992.4524
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Vol. 23 No. 1 (1992)
Section
Papers
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