Perturbation Theory for Abstract Volterra Equations | Zendy

Marko Kostić | Zendy

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Perturbation Theory for Abstract Volterra Equations

Author(s) -

Marko Kostić

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/307684

Subject(s) - resolvent , mathematics , perturbation (astronomy) , volterra integral equation , poincaré–lindstedt method , perturbation theory (quantum mechanics) , mathematical analysis , integral equation , singular perturbation , physics , quantum mechanics

We consider additive perturbation theorems for subgenerators of (a, k)-regularized C-resolvent families. A major part of our research is devoted to the study of perturbation properties of abstract time-fractional equations, primarily from their importance in modeling of various physical phenomena. We illustrate the results with several examples

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