-
2
-
-
77950867099
-
A fractional calculus of variations for multiple integrals with application to vibrating string
-
Almeida, R., Malinovska, A. B., Torres, D. F. M.: A fractional calculus of variations for multiple integrals with application to vibrating string. J. Math. Phys., 3, 033503, 12 pp (2010).
-
(2010)
J. Math. Phys.
, vol.3
, pp. 033503
-
-
Almeida, R.1
Malinovska, A.B.2
Torres, D.F.M.3
-
3
-
-
0004225568
-
On a concept of derivative of complex order with applications to special functions
-
Campos, L. M. C.: On a concept of derivative of complex order with applications to special functions. IMA J. Appl. Math., 33, 109-133 (1984).
-
(1984)
IMA J. Appl. Math.
, vol.33
, pp. 109-133
-
-
Campos, L.M.C.1
-
4
-
-
84977255207
-
Linear model of dissipation whose Q is almost frequency dependent II
-
Caputo, M.: Linear model of dissipation whose Q is almost frequency dependent II. Geophys. J. R. Ast. Soc., 13, 529-539 (1967).
-
(1967)
Geophys. J. R. Ast. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
5
-
-
0010813790
-
On fractional integrals and derivatives
-
Kober, H.: On fractional integrals and derivatives. Quart. J. Math. Oxford, 11, 193-215 (1940).
-
(1940)
Quart. J. Math. Oxford
, vol.11
, pp. 193-215
-
-
Kober, H.1
-
6
-
-
0001936243
-
Theory of differentiation of fractional order
-
Letnikov, A. V.: Theory of differentiation of fractional order. Math. Sb., 3, 1-7 (1868).
-
(1868)
Math. Sb.
, vol.3
, pp. 1-7
-
-
Letnikov, A.V.1
-
7
-
-
0002588201
-
Sur le calcul des differentielles à indices quelconques (in French)
-
Liouville, J.: Sur le calcul des differentielles à indices quelconques (in French). J. Ecole Polytechnique, 13, p. 71 (1832).
-
(1832)
J. Ecole Polytechnique
, vol.13
, pp. 71
-
-
Liouville, J.1
-
8
-
-
77956180234
-
The application of fractional derivatives in stochastic models driven by fractional Brownian motion
-
Lv, L. J., Ren, F. Y., Qiu, W. Y.: The application of fractional derivatives in stochastic models driven by fractional Brownian motion. Physica A, 389(21), 4809-4818 (2010).
-
(2010)
Physica A
, vol.389
, Issue.21
, pp. 4809-4818
-
-
Lv, L.J.1
Ren, F.Y.2
Qiu, W.Y.3
-
13
-
-
0003375403
-
Taylor's series generalized for fractional derivatives and applications
-
Osler, T. J.: Taylor's series generalized for fractional derivatives and applications. SIAM J. Mathematical Analysis, 2(1), 37-47 (1971).
-
(1971)
SIAM J. Mathematical Analysis
, vol.2
, Issue.1
, pp. 37-47
-
-
Osler, T.J.1
-
17
-
-
0003598080
-
-
London: Gordon and Breach Science Publishers
-
Samko, S. G., Kilbas, A. A., Marichev, O. I.: Fractional Integrals and Derivatives. Theory and Applications, Gordon and Breach Science Publishers, London, 1987.
-
(1987)
Fractional Integrals and Derivatives. Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
18
-
-
84950955560
-
Stochastic differential equations with fractional Brownian motion input
-
Jumarie, G.: Stochastic differential equations with fractional Brownian motion input. Int. J. Syst. Sc., 24(6), 1113-1132 (1993).
-
(1993)
Int. J. Syst. Sc.
, vol.24
, Issue.6
, pp. 1113-1132
-
-
Jumarie, G.1
-
19
-
-
18144429885
-
On the representation of fractional Brownian motion as an integral with respect to (dt)α
-
Jumarie, G.: On the representation of fractional Brownian motion as an integral with respect to (dt)α. Applied Mathematics Letters, 18, 739-748 (2005).
-
(2005)
Applied Mathematics Letters
, vol.18
, pp. 739-748
-
-
Jumarie, G.1
-
20
-
-
18144378447
-
On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion
-
Jumarie, G.: On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion. Applied Mathematics Letters, 18, 817-826 (2005).
-
(2005)
Applied Mathematics Letters
, vol.18
, pp. 817-826
-
-
Jumarie, G.1
-
21
-
-
33745742268
-
Modified Riemann-Liouville derivative and fractional Taylor series of non-differentiable functions further results
-
Jumarie, G.: Modified Riemann-Liouville derivative and fractional Taylor series of non-differentiable functions further results. Computers and Mathematics with Applications, 51, 1367-1376 (2006).
-
(2006)
Computers and Mathematics with Applications
, vol.51
, pp. 1367-1376
-
-
Jumarie, G.1
-
22
-
-
33745082228
-
New stochastic fractional models for Malthusian growth, the Poissonian birth prodess and optimal management of populations
-
Jumarie, G.: New stochastic fractional models for Malthusian growth, the Poissonian birth prodess and optimal management of populations. Mathematical and Computer Modelling, 44, 231-254 (2006).
-
(2006)
Mathematical and Computer Modelling
, vol.44
, pp. 231-254
-
-
Jumarie, G.1
-
23
-
-
33845306847
-
Lagragian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series non-differentiable functions
-
Jumarie, G.: Lagragian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series non-differentiable functions. Chaos, Solitons and Fractals, 32, 969-987 (2007).
-
(2007)
Chaos, Solitons and Fractals
, vol.32
, pp. 969-987
-
-
Jumarie, G.1
-
24
-
-
0030671988
-
Holder exponents of irregular signals and local fractional derivatives
-
Kolwankar, K. M., Gangal, A. D.: Holder exponents of irregular signals and local fractional derivatives. Pramana J. Phys., 48, 49-68 (1997).
-
(1997)
Pramana J. Phys.
, vol.48
, pp. 49-68
-
-
Kolwankar, K.M.1
Gangal, A.D.2
-
25
-
-
0001707390
-
Local fractional Fokker-Planck equation
-
Kolwankar, K. M., Gangal A. D.: Local fractional Fokker-Planck equation. Phys. Rev. Lett., 80, 214-21 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 214-221
-
-
Kolwankar, K.M.1
Gangal, A.D.2
-
26
-
-
0006544366
-
-
In: Recent Advances in Fractional Calculus (R. N. Kalia Ed.), Global Publishing Company
-
Campos, L. M. C.: Fractional calculus of analytic and branched functions. In: Recent Advances in Fractional Calculus (R. N. Kalia Ed.), Global Publishing Company, 1993.
-
(1993)
Fractional calculus of analytic and branched functions
-
-
Campos, L.M.C.1
-
27
-
-
0003031851
-
Fractional derivative and the Cauchy problem for differential equations of fractional order (in Russian)
-
Djrbashian, M. M., Nersesian, A. B.: Fractional derivative and the Cauchy problem for differential equations of fractional order (in Russian). Izv. Acad. Nauk Armjanskoi SSR, 3(1), 3-29 (1968).
-
(1968)
Izv. Acad. Nauk Armjanskoi SSR
, vol.3
, Issue.1
, pp. 3-29
-
-
Djrbashian, M.M.1
Nersesian, A.B.2
-
28
-
-
77955358388
-
A note on fractional Sumudu transform
-
Article 154189
-
Gupta, V. G., Shrama, B., Kilic, A.: A note on fractional Sumudu transform. Journal of Applied Mathematics, Article 154189, 9pp (2010).
-
(2010)
Journal of Applied Mathematics
, pp. 9
-
-
Gupta, V.G.1
Shrama, B.2
Kilic, A.3
|