Mathematical Physics Vol 1

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BIBLIOGRAPHY

[11] Liouville, J.Memoire sur quelques questions de geometrie et de mecanique, et sur un noveau genre de calcul pour resoudre ces questions. J. l’Ecole Roy.Polytechn., 13, Sect. 21, 1-69,1832a. [12] Liouville, J.,Memoire sur le calcul des differentielles a indices quelconques. J. l’Ecole Roy. Polytechn., 13, Sect. 21, 71-162,1832b. [13] Liouville J. Memoire sur le theoreme des fonctions complementaires. J. f ur reine und angew. Math., 11:1-19,1834. [14] Liouville J. Memoire sur l’integration des equations differentielles a indices fractionnaires. J. l’Ecole Roy. Polytechn., 15(55):58-84,1837. [15] Liouville J. mémoire sur l integration de lequation : a laide des differentielles indices quelconques. J. l’Ecole Roy. Polytechn.163-186. [16] Liouville J., Mémoire sur lintegration des equations differentielles a indices fractionnaires. J. l’Ecole Roy. Polytechn.15, no55,58-84. [17] Greer, H. R., On Fractional Differentiation, Quart. J. Math., 3,327–330,1858. [18] Fourier J.,Théorie analytique de la chaleur, Paris,1822. [19] Baleanu, D., Fernandez, A.: On fractional operators and their classifications. Mathematics 7(9), 830 (2019) [20] De Morgan, A. The Differential and Integral Calculus Combining Differentiation, Integra tion, Development, Differential Equations, Differences, Summation, Calculus of Variations with Applications to Algebra, Plane and Solid Geometry; Baldwin and Craddock: London, UK, 1840. [21] B. Riemann, "Versuch einer allgemeinen Auffassung der Integration und Differentiation." Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass. Teubner, Leipzig 1876 (Dover, New York, 1953),pp. 331-344. [22] A. Caley, “Note on Riemann’s paper.”Math.Ann.16.81-82.,1880. [23] Sonin N,Y. On differentiation with arbitrary index, Moscow Matem. Sbornik,6(1):1-38, 1869. [24] Letnikov A. V. Theory of differentiation with an arbitrary index (Russian), Moscow, Matem. Sbornik, 3:1-66, 1868. [25] Letnikov A. V., An explanation of the concepts of the theory of differentiation of arbitrary index (Russian), Moscow Matem. Sbornik, 6:413-445,1872. [26] Laurent H., Sur le calcul des derivees a indicies quelconques. Nouv. Annales de Mathema tiques, 3(3):240-252, 1884. [27] Grunwald A. K,Uber "begrenzte" Derivationen und deren Anwendung. Zeit. fur Mathematik und Physik 12 , 441-480, 1867. [28] Nekrasov, P.A, General differentiation (in Russian), Mat.Sb.,14,Vyp.1, 45-168. [29] Nekrasov, P.A,An application of general differentiation to integration of euation of the form (in Russian), Mat.Sb.,14,Vyp.1, 344-393.