-
1
-
-
84950955560
-
Stochastic differential equations with fractional Brownian motion input
-
Jumarie G. Stochastic differential equations with fractional Brownian motion input. Int. J. Syst. Sci. 24 6 (1993) 1113-1132
-
(1993)
Int. J. Syst. Sci.
, vol.24
, Issue.6
, pp. 1113-1132
-
-
Jumarie, G.1
-
2
-
-
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. Appl. Math. Lett. 18 (2005) 817-826
-
(2005)
Appl. Math. Lett.
, vol.18
, pp. 817-826
-
-
Jumarie, G.1
-
3
-
-
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. Comput. Math. Appl. 51 (2006) 1367-1376
-
(2006)
Comput. Math. Appl.
, Issue.51
, pp. 1367-1376
-
-
Jumarie, G.1
-
4
-
-
33745082228
-
New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations
-
Jumarie G. New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations. Math. Comput. Modelling 44 (2006) 231-254
-
(2006)
Math. Comput. Modelling
, vol.44
, pp. 231-254
-
-
Jumarie, G.1
-
5
-
-
34249788181
-
Fractional partial differential equations and modified Riemann-Liouville derivatives. Method for solution
-
Jumarie G. Fractional partial differential equations and modified Riemann-Liouville derivatives. Method for solution. J. Appl. Math. Computing 24 1-2 (2007) 31-48
-
(2007)
J. Appl. Math. Computing
, vol.24
, Issue.1-2
, pp. 31-48
-
-
Jumarie, G.1
-
6
-
-
33845306847
-
Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of non differentiable functions
-
Jumarie G. Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor's series of non differentiable functions. Chaos Solitons Fractals 32 3 (2007) 969-987
-
(2007)
Chaos Solitons Fractals
, vol.32
, Issue.3
, pp. 969-987
-
-
Jumarie, G.1
-
7
-
-
57049186538
-
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
-
Jumarie G. Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Appl. Math. Lett. 22 (2009) 378-385
-
(2009)
Appl. Math. Lett.
, vol.22
, pp. 378-385
-
-
Jumarie, G.1
-
8
-
-
0030671988
-
Holder exponents of irregular signals and local fractional derivatives
-
Kolwankar KM., and Gangal AD. Holder exponents of irregular signals and local fractional derivatives. Pramana J. Phys. 48 (1997) 49-68
-
(1997)
Pramana J. Phys.
, vol.48
, pp. 49-68
-
-
Kolwankar, KM.1
Gangal, AD.2
-
9
-
-
0001707390
-
Local fractional Fokker-Planck equation
-
Kolwankar KM., and Gangal AD. Local fractional Fokker-Planck equation. Phys. Rev. Lett. 80 (1998) 214-217
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 214-217
-
-
Kolwankar, KM.1
Gangal, AD.2
-
12
-
-
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 (1984) 109-133
-
(1984)
IMA J. Appl. Math.
, vol.33
, pp. 109-133
-
-
Campos, L.M.C.1
-
13
-
-
0006544366
-
Fractional calculus of analytic and branched functions
-
Kalia R.N. (Ed), Global Publishing Company
-
Campos L.M.C. Fractional calculus of analytic and branched functions. In: Kalia R.N. (Ed). Recent Advances in Fractional Calculus (1993), Global Publishing Company
-
(1993)
Recent Advances in Fractional Calculus
-
-
Campos, L.M.C.1
-
14
-
-
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. Astron. Soc. 13 (1967) 529-539
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
15
-
-
70349198504
-
-
Carpinteri R., and Mainardi P. (Eds)
-
In: Carpinteri R., and Mainardi P. (Eds). Fractals and Fractional Calculus in Continuum Mechanics. CISM Lecture Notes vol. 378 (1997)
-
(1997)
CISM Lecture Notes
, vol.378
-
-
-
16
-
-
0003031851
-
Fractional derivative and the Cauchy problem for differential equations of fractional order
-
(in Russian)
-
Djrbashian M.M., and Nersesian A.B. Fractional derivative and the Cauchy problem for differential equations of fractional order. Izv. Acad. Nauk Armjanskoi SSR 3 1 (1968) 3-29 (in Russian)
-
(1968)
Izv. Acad. Nauk Armjanskoi SSR
, vol.3
, Issue.1
, pp. 3-29
-
-
Djrbashian, M.M.1
Nersesian, A.B.2
-
18
-
-
0002987725
-
Fractional time evolution
-
Hilfer R. (Ed), World Scientific, Singapore
-
Hilfer R. Fractional time evolution. In: Hilfer R. (Ed). Applications of Fractional Calculus in Physics (2000), World Scientific, Singapore 87-130
-
(2000)
Applications of Fractional Calculus in Physics
, pp. 87-130
-
-
Hilfer, R.1
-
19
-
-
25144510464
-
The space-time fractional diffusion equation with Caputo derivatives
-
Huang F., and Liu F. The space-time fractional diffusion equation with Caputo derivatives. J. Appl. Math. Computing 19 1-2 (2005) 179-190
-
(2005)
J. Appl. Math. Computing
, vol.19
, Issue.1-2
, pp. 179-190
-
-
Huang, F.1
Liu, F.2
-
20
-
-
0035427324
-
Further results on Fokker-Planck equation of fractional order
-
Jumarie G. Further results on Fokker-Planck equation of fractional order. Chaos Solitons Fractals 12 (2001) 1873-1886
-
(2001)
Chaos Solitons Fractals
, vol.12
, pp. 1873-1886
-
-
Jumarie, G.1
-
22
-
-
0010813790
-
On fractional integrals and derivatives
-
Kober H. On fractional integrals and derivatives. Quart. J. Math. Oxford 11 (1940) 193-215
-
(1940)
Quart. J. Math. Oxford
, vol.11
, pp. 193-215
-
-
Kober, H.1
-
23
-
-
0001936243
-
Theory of differentiation of fractional order
-
Letnivov A.V. Theory of differentiation of fractional order. Math. Sb. 3 (1868) 1-7
-
(1868)
Math. Sb.
, vol.3
, pp. 1-7
-
-
Letnivov, A.V.1
-
24
-
-
0009747213
-
-
Levin S.A. (Ed), Springer-Verlag, New York
-
In: Levin S.A. (Ed). Frontiers in Mathematical Biology (1994), Springer-Verlag, New York
-
(1994)
Frontiers in Mathematical Biology
-
-
-
25
-
-
0002588201
-
Sur le calcul des differentielles à indices quelconques
-
(in French)
-
Liouville J. Sur le calcul des differentielles à indices quelconques. J. Ecole Polytechnique 13 (1832) 71 (in French)
-
(1832)
J. Ecole Polytechnique
, vol.13
, pp. 71
-
-
Liouville, J.1
-
29
-
-
0003375403
-
Taylor's series generalized for fractional derivatives and applications
-
Osler T.J. Taylor's series generalized for fractional derivatives and applications. SIAM. J. Math. Anal. 2 1 (1971) 37-47
-
(1971)
SIAM. J. Math. Anal.
, vol.2
, Issue.1
, pp. 37-47
-
-
Osler, T.J.1
-
31
-
-
0003451932
-
-
Springer, Berlin
-
Ross B. Fractional Calculus and its Applications. Lecture Notes in Mathematics vol. 457 (1974), Springer, Berlin
-
(1974)
Lecture Notes in Mathematics
, vol.457
-
-
Ross, B.1
-
33
-
-
34249825244
-
Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
-
Shaher M., and Odibat Z.M. Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics. J. Appl. Math. Computing 24 1-2 (2007) 167-178
-
(2007)
J. Appl. Math. Computing
, vol.24
, Issue.1-2
, pp. 167-178
-
-
Shaher, M.1
Odibat, Z.M.2
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