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Fractional Evolution Integro-differential Equations with Nonlocal Conditions in Banach Spaces

Автор(ы):

M. Chandrasekaran

Professor of Mathematics,
Higher College of Technology,
Muscat,
Sultanate of Oman

m_chands_2000@yahoo.com

V. Dhanapalan

Associate Professor of Mathematics,
Government College of Technology,
Coimbatore-641 013.
Tamilnadu, India.

vdp_vaisu@yahoo.co.in

Аннотация:

In this work, we use the theory of resolvent operators, the fractional powers of operators, fixed point technique and the Gelfand- Shilov principle to establish the existence and uniqueness of local mild and then classical solutions of a class of nonlinear fractional evolution integro-differential equations with nonlocal conditions in Banach space.

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