A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions
In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: \[\begin{aligned}D_{t}^{q}x(t)&=Ax(t)+\int\limits_{0}^{t}B(t-s)x(s)ds+t^{n}f\left(t,x(t)\right),&&t\in [0,T],\;n\in Z^{+},\\&&&q\in(0,1],\;x(0)...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AGH Univeristy of Science and Technology Press
2011-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol31/1/art/opuscula_math_3109.pdf |