Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type

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References

[1] K. Yosida, “The Algebraic Derivative and Laplace’s Differential Equation,” Proceedings of the Japan Academy, Vol. 59, Ser. A, 1983, pp. 1-4.

[2] K. Yosida, “Operational Calculus,” Springer-Verlag, New York, 1982, Chapter VII.

[3] J. Mikusiński, “Operational Calculus,” Pergamon Press, London, 1959.

[4] T. Morita and K. Sato, “Solution of Fractional Differential Equation in Terms of Distribution Theory,” Interdisciplinary Information Sciences, Vol. 12, No. 2, 2006, pp. 71-83.

[5] T. Morita and K. Sato, “Neumann-Series Solution of Fractional Differential Equation,” Interdisciplinary Information Sciences, Vol. 16, 2010, pp. 127-137.

[6] M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables,” Dover Publ. Inc., New York, 1972, Chapter 13.

[7] M. Magnus and F. Oberhettinger, “Formulas and Theorems for the Functions of Mathematical Physics,” Chelsea Publ. Co., New York, 1949, Chapter VI.