Mathematical Physics Vol 1

451

BIBLIOGRAPHY

[30] Heaviside O., Electrical papers, The Macmillan Company,8,1892.

[31] Weyl H., Bemerkungen zum Begriff des Differentialquotienten gebrochener Ordnung, Ierteljshr Naturforsch Gesellsch Zurich, 62:296-302, 1917. [32] Hardy G.,J.Littlewood,Some properties of fractional integrals,I.Math.Z.,27(4),565 606,1928. [33] Hardy G.and J. Littlewood. Some properties of fractional integrals, II. Math. Z.,34:403.439, 1932. [34] Marchaud A., Sur les derivees et sur les differences des fonctions des variables reelles. J. Math. Pures Appl. (9)6, 337-425, 1927. [35] Riesz.M., Lintegrales de Riemann-Liouville et solution invariante du probleme de Cauchy pour l’equation des ondes. C. R. Congr ´ es Intern. Math, 2:44-45,1936. [36] Riesz. M., Lintegrales de Riemann-Liouville et potentiels. Acta Litt. Acad. Sci.Szeged, 9:1-42, 1938. [37] Riesz. M.,L’int ´ egrales de Riemann-Liouville et le probl ´ eme de Cauchy. Acta Math.,81 (1-2): 1-223, 1949. [38] Erdelyi. A.,On fractional integration and its application on the theory of Hankel tranforms. Quart. J. Math., Oxford ser., 11(44):293.303, 1940. [39] Erdelyi, A., H. Kober. Some remarks on Hankel transforms. Quart. J. Math., Oxford ser.,11(43) 212-221, 1940. [40] Erdelyi, A., W. Magnus, F. Oberhettinger, and F. G. Tricomi. Higher transcendental functions. Vol. I. Robert E. Krieger Publishing Co. Inc., Melbourne, Fla., 1981. Based on notes left by Harry Bateman, With a preface by Mina Rees, With a foreword by E. C. Watson, Reprint of the 1953 original. [41] Caputo M., Linear models of dissipation whose Q is almost frequency independent. Part II. J Roy Austral Soc.;13:529-539,1967. [42] Caputo, M. Elasticit ´ a e Dissipazione. Zanichelli, Bologna,1969. [43] Rabotnov Y.N., Creep problems in structural members. North-Holland Series in Applied Mathematics and Mechanics, 7, 1969. Originally published in Russian as: Polzuchest Elementov Konstruktsii, Nauka, Moscow, 1966. [44] Rabotnov Yu.N., Equilibrium of an elastic medium with after-effect (in Russian). Priklad naya Matematika i Mekhanika (J. Appl. Math. Mech.) 12, No 1 (1948), 53-62. [45] McBride, A. C. Fractional Calculus and Integral Transforms of Generalized Functions (Research Notes in Mathematics) 31, Pitman, 179 pp. 1979. [46] Nishimoto K., An Essence of Nishimoto’s Fractional Calculus Integrals and Differentiation of Arbitrary Order(Calculus of the 21st Century) Descartes Press,Koriyama, Japan, 1991. [47] Samko, S.G., Kilbas, A.A., Marichev, O.I. Fractional Integrals and Derivatives - Theory and Applications. Gordon and Breach Science Publishers, Amsterdam, 1993.

Made with FlippingBook Digital Publishing Software