Found 195 Documents (Results 1–100)
Systems of fractional differential equations, equations with infinite solutions. Fractional functions. Fractional integrodifferential equations. (Spanish) Zbl 1540.34040
On application of generalized fractional derivative to univalent functions. (English) Zbl 1266.30008
Exact solutions for the unsteady rotational flow of non-Newtonian fluid in an annular pipe. (English) Zbl 1211.76014
\(N\)-fractional differintegral of generalized hypergeometric function \(_pF_q[(a_p);(b_q);(z-a)(z-b)]\). (English) Zbl 1195.33117
A theorem associated with certain generalized Weyl fractional integral with the Laplace transform and a class of Whittaker transforms with general class of polynomials. (Hindi. English summary) Zbl 1193.44012
On a singular value problem and the boundary Harnack principle for the fractional Laplacian. (English) Zbl 1199.26024
Bakry, Dominique (ed.) et al., Current trends in potential theory. Proceedings of the 2nd IMAR workshop on potential theory, Bucharest, Romania, September 9–29, 2002, and the potential theory conference, Bucharest, Romania, September 23–27, 2003. Bucharest: Theta (ISBN 973-85432-6-6). Theta Series in Advanced Mathematics 4, 123-136 (2005).
Reviewer: Stefan G. Samko (Faro)
Splines, fractal functions, and Besov and Triebel-Lizorkin spaces. (English) Zbl 1180.41008
Lévy-Véhel, Jacques (ed.) et al., Fractals in engineering. New trends in theory and applications. London: Springer (ISBN 1-84628-047-8/hbk; 1-84628-048-6/ebook). 21-32 (2005).
Multipole moments of fractal distribution of charges. (English) Zbl 1180.26006
Reviewer: Stefan G. Samko (Faro)
MSC:
26A33
A new class of multivalent prestarlike functions with negative coefficients involving certain fractional calculus operators. (English) Zbl 1163.30303
Some applications of the generalized fractional integral operator involving the \(H\)-function for multivalent prestarlike functions with negative coefficients. (English) Zbl 1162.26303
An Abel-type integral equation and local fractional integrals and derivatives. (English) Zbl 1178.45004
On two weight estimates for strong fractional maximal functions and potentials with multiple kernels. (English) Zbl 1169.42309
Reviewer: Mihai Turinici (Iaşi)
Integral equations. A course of lectures. (Интегральные уравнения. Курс лекций.) (Russian) Zbl 1152.45001
Minsk: BGU (ISBN 985-485-426-4/pbk). 143 p. (2005).
Reviewer: Sergei V. Rogosin (Minsk)
Fractional and other approximation of Csiszar’s \(f\)-divergence. (English) Zbl 1148.62004
Proceedings of the fifth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, June 16–23, 2004. Palermo: Circolo Matemàtico di Palermo. Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 76, 197-212 (2005).
Reviewer: Wilfried Hazod (Dortmund)
The Cauchy problem for a differential-difference nonlocal wave equation. (English. Russian original) Zbl 1140.35381
Differ. Equ. 41, No. 10, 1482-1485 (2005); translation from Differ. Uravn. 41, No. 10, 1406-1409 (2005).
Fractional hold circuits versus positive realness of discrete transfer functions. (English) Zbl 1136.93319
Fractional calculus operator involving the product of hypergeometric functions and polynomials of several variables. (English) Zbl 1132.33328
Fractional integration pertaining to a product of certain transcendental functions. (English) Zbl 1132.26319
Some multiple infinite sums and combinatorial identities derived by means of fractional calculus. (English) Zbl 1131.26305
\(N\)-fractional calculus of some products which contain some logarithmic functions. (English) Zbl 1131.26308
MSC:
26A33
Negative power series solutions for a class of differential equations including the ones of Legendre and Chebyshev. (English) Zbl 1131.26309
Behavior of solutions for a weighted Cauchy-type fractional differential problem. (English) Zbl 1131.26304
Some identities associated with generalized beta functions and \(N\)-fractional calculus of some functions. (English) Zbl 1131.26310
\(N\)-fractional calculus of a power function and generalized hypergeometric functions. (English) Zbl 1131.26307
Integral mean inequalities for generalized fractional derivatives of some general subclass of multivalent analytic functions. (English) Zbl 1133.30306
A study of composition formulas for the unified fractional integral operators. (English) Zbl 1131.26004
Generalized differences and general hypersingular integrals. (English. Russian original) Zbl 1167.42004
Dokl. Math. 72, No. 3, 908-911 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 4, 444-447 (2005).
Reviewer: Stefan G. Samko (Faro)
On a subclass of analytic functions involving operators of fractional calculus. (English) Zbl 1123.30300
On multi-dimensional random walk models approximating symmetric space-fractional diffusion processes. (English) Zbl 1131.60038
Reviewer: Ion Cuculescu (Bucureşti)
Renewal processes of Mittag-Leffler and Wright type. (English) Zbl 1126.60070
Reviewer: Josef Steinebach (Köln)
Extension of Lyapunov second method by fractional calculus. (Chinese. English summary) Zbl 1118.33001
Discrete models of time-fractional diffusion in a potential well. (English) Zbl 1129.26002
Reviewer: Som Prakash Goyal (Jaipur)
Certain properties of fractional calculus operators associated with generalized Mittag-Leffler function. (English) Zbl 1144.26010
Reviewer: Stefan G. Samko (Faro)
Fractional calculus of the generalized Wright function. (English) Zbl 1144.26008
Reviewer: Stefan G. Samko (Faro)
Fractional derivatives and fractional powers as tools in understanding Wentzell boundary value problems for pseudo-differential operators generating Markov processes. (English) Zbl 1142.26003
Reviewer: Ram Kishore Saxena (Jodhpur)
On one class of operators associated with differential equations of fractional order. (Russian, English) Zbl 1113.26009
Sib. Mat. Zh. 46, No. 6, 1201-1207 (2005); translation in Sib. Math. J. 46, No. 6, 963-968 (2005).
Geometrical interpretation of fractional order derivates. (Ukrainian. English summary) Zbl 1118.26301
MSC:
26A33
An interpolation between the wave and diffusion equations through the fractional evolution equations Dirac like. (English) Zbl 1111.35049
The Darboux problem for differential equation containing fractional derivative. (Russian) Zbl 1111.35146
Reviewer: V. M. Musaev (Baku)
Fractional extensions of Jacobi polynomials and Gauss hypergeometric function. (English) Zbl 1123.33007
Reviewer: Pedro José Miana (Zaragoza)
Cauchy-type problem for diffusion-wave equation with the Riemann-Liouville partial derivative. (English) Zbl 1128.35007
Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk)
On multidimensional analogue of Marchaud formula for fractional Riesz-type derivatives in domains in \(\mathbb R^n\). (English) Zbl 1141.42014
Reviewer: Zhibo Lu (Zhengzhou)
Convolution products in \(L^1(\mathbb R^+)\), integral transforms and fractional calculus. (English) Zbl 1113.43002
Reviewer: Alexandr L. Brodskij (Severodonetsk)
Numerical approximation of a fractional-in-space diffusion equation. I. (English) Zbl 1126.26009
Reviewer: Rudolf Gorenflo (Berlin)
On the Riemann-Liouville fractional \(q\)-integral operator involving a basic analogue of Fox \(H\)-function. (English) Zbl 1123.33016
Reviewer: Pedro José Miana (Zaragoza)
On a singular value problem for the fractional Laplacian on the exterior of the unit ball. (English) Zbl 1110.31003
Reviewer: Liliana Popa (Iaşi)
Efficient numerical methods for fractional differential equations and their analytical background. (English) Zbl 1104.26012
Braunschweig: Univ. Braunschweig, Fakultät für Mathematik und Informatik (Diss.). ii, 218 p. (2005).
Stummel class of Morrey spaces. (English) Zbl 1113.46022
Reviewer: Stefan G. Samko (Faro)
Existence of positive solutions for n-term non-autonomous fractional differential equations. (English) Zbl 1111.34006
Obrechkoff integral transform and hyper-Bessel operators via \(G\)-function and fractional calculus approach. (English) Zbl 1125.44003
Reviewer: Semyon Yakubovich (Porto)
Rational approximations of Riemann-Liouville and Weyl fractional integrals. (English. Russian original) Zbl 1115.41013
Math. Notes 78, No. 3, 391-402 (2005); translation from Mat. Zametki 78, No. 3, 428-441 (2005).
Reviewer: G. Laville (Caen)
Some applications of fractional calculus operators to the analytic part of harmonic univalent functions. (English) Zbl 1145.30303
Fractional variational analysis of classical dynamical systems with tangent bundle and Feynman quantization of nonconservative Hamiltonian systems on symplectic differentiable manifold. (English) Zbl 1145.70322
From nonconservative classical Lagrangian field theories to Brand-Dicke gravitational scalar field theory via FALVA. (English) Zbl 1117.83357
Weak dissipative scalar cosmology, the divergence problem and standard cosmology: important features and aspects from fractional functional and action. (English) Zbl 1117.83356
Unstable relativistic electrodynamics of charged particles from fractional action-like variational approach. (English) Zbl 1103.83017
Reviewer: Mohammad Khorrami (Tehran)
Weak dissipative MHD plasma fluids equations from nonconservative smooth symplectic manifold Lagrangian and Hamilton’s classical dynamics. (English) Zbl 1177.76461
Weak dissipative Hamiltonian-Lagrangian mechanics and constrained Euler-Lagrange 1-form on cohomological \(2n\)-dimensional symplectic manifolds. (English) Zbl 1177.70022
Fractional Hamilton’s variational formulations of non-self adjoint Lagrangian mechanics on symplectic manifold of tangent bundle. (English) Zbl 1107.70007
Effects of nonconservative fractional Lagrangian dynamics on broken gauge symmetry theories. (English) Zbl 1177.81067
A new existence result to nonlinear fractional differential equation. (English) Zbl 1112.34303
Reviewer: Samir B. Hadid (Ajman)
Nonlocal problem for a parabolic-hyperbolic equation with fractional derivatives in the boundary condition. (Russian) Zbl 1096.35093
Kozhanov, A. I. (ed.), Nonclassical equations of mathematical physics. Proceedings of the seminar dedicated to the 60th birthday of Prof. V. N. Vragov, October 3-5, 2005. Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (ISBN 5-86134-128-1/pbk). 252-257 (2005).
Reviewer: V. Grebenev (Novosibirsk)
On functional relations of differintegrals involving trigonometric functions. (English) Zbl 1109.26003
Reviewer: P. K. Banerji (Jodhpur)
Partial differential equations of fractional order. (Уравнения в частных производных дробного порядка.) (Russian) Zbl 1193.35245
Moskva: Nauka (ISBN 5-02-033721-8/pbk). 199 p. (2005).
Reviewer: Sergei V. Rogosin (Minsk)
Some properties of functions from the intersection of Besov-Morrey type spaces with dominant mixed derivatives. (English) Zbl 1107.46028
Probabilistic approximation and inviscid limits for one-dimensional fractional conservation laws. (English) Zbl 1122.60063
Reviewer: Evelyn Buckwar (Berlin)
General relativity and quantum field theory: an analysis using fractional functional and action. (English) Zbl 1136.83311
Some results associated with certain analytic and univalent functions involving fractional derivative operators. (English) Zbl 1246.30026
Reviewer: Maslina Darus (Selangor)
On generalized Wright’s hypergeometric functions and fractional calculus operators. (English) Zbl 1101.33016
Reviewer: Robert G. Buschman (Bandon)
Fredholm type integral equations and certain polynomials. (English) Zbl 1103.45002
Reviewer: Roland Duduchava (Tbilisi)
Time fractional diffusion-reaction equation. (Chinese. English summary) Zbl 1099.35502
On two-dimensional generalized Saigo fractional calculus associated with two-dimensional generalized \(H\)-transforms. (English) Zbl 1114.26007
Reviewer: Ravinder Krishen Raina (Udaipur)
The identification algorithm for commensurate order linear time-invariant fractional systems. (English) Zbl 1161.93306
Fuzzy fractional order controller based on fractional calculus. (Chinese. English summary) Zbl 1161.93317
A fractional predictor-corrector method of the fractional relaxation-oscillation equation. (Chinese. English summary) Zbl 1092.65123
On the continuous dependence of solutions of integro-fractional differential equations with respect to initial conditions. (English) Zbl 1096.45006
Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk)
Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I. (English) Zbl 1100.35132
Reviewer: Nasser-eddine Tatar (Dhahran)
Some results for certain \(p\)-valently analytic functions associated with fractional calculus operators and majorization problems. (English) Zbl 1112.30011
Reviewer: Ravinder Krishen Raina (Udaipur)
Boundedness for vector-valued multilinear singular integral operators on Triebel-Lizorkin spaces. (English) Zbl 1122.42005
Reviewer: Sunggeum Hong (Gwangju)
On a mixed-type integral equation and fractional-order functional differential equations. (English) Zbl 1098.45005
Reviewer: D. M. Bors (Iaşi)
Elements of dyadic analysis. (Элементы двоичного анализа.) (Russian) Zbl 1108.42001
Moskva: Moskovskiĭ Gosudarstvennyĭ Universitet Pechati (ISBN 5-8122-0790-9/pbk). 203 p. (2005).
Reviewer: Jürgen Appell (Würzburg)
Characterization theorems for starlike and convex functions in terms of generalized fractional calculus. (English) Zbl 1088.30009
Reviewer: Angela Slavova (Sofia)
Criteria for generalized fractional integrals to preserve univalency of analytic functions. (English) Zbl 1088.30006
Reviewer: Angela Slavova (Sofia)
On the C-Laguerre functions. (English) Zbl 1093.33005
Reviewer: Angela Slavova (Sofia)
Eigenvalue problems for fractional differential equations. (Chinese. English summary) Zbl 1096.34521
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