Solutions to stochastic fractional relaxation equations

Physica Scripta T

Volumn T136, Issue , 2009, Pages

  Karczewska, A ^a   Lizama, C ^b  

^a UNIVERSITY OF ZIELONA GÓRA   (Poland)

^b UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUOUS OPERATORS; RELAXATION EQUATIONS; STRONG SOLUTION; SUFFICIENT CONDITIONS; THEORETICAL APPROACH;

STOCHASTIC SYSTEMS;

MATHEMATICAL OPERATORS;

EID: 77952865673     PISSN: 02811847     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1088/0031-8949/2009/T136/014030     Document Type: Conference Paper

References (9)

1. Mainardi F 1977 Fractional calculus: some basic problems in continuum and statistical mechanics Fractals and Fractional Calculus in Continuum Mechanics ed A Carpinteri and F Mainardi (Wien: Springer) pp 291-348
2. Karczewska A and Lizama C 2007 Stochastic Volterra equations driven by cylindical Wiener process J. Evol. Eqns 7 373-386 (Pubitemid 46677632)
3. Bazhlekova E 2001 Fractional evolution equations in Banach spaces PhD Thesis Eindhoven University of Technology
4. Erdélyi A, Magnus M, Oberhettinger F and Tricomi F G 1955 Higher Transcendental Functions (New York: McGraw-Hill)
5. Prüss J 1993 Evolutionary Integral Equations and Applications (Basel: Birkhäuser)
6. Lizama C 2000 Regularized solutions for abstract Volterra equations J. Math. Anal. Appl. 243 278-392
7. Pazy A 1993 Semigroups of Linear Operators and Applications to Partial Differential Equations (New York: Springer)
8. Lizama C 2001 On approximation and representation of k-regularized resolvent families Integral Eqns Operator Theory 41 223-229
9. Karczewska A 2007 Properties of convolutions arising in stochastic Volterra equations Int. J. Contemp. Math. Sci. 2 1037-1052