Author:
Ahmad B.,Ntouyas S. K.,Alsaedi A.
Abstract
UDC 517.9We develop the existence theory for a more general class of nonlocal integro-multipoint boundary value problems ofCaputo type fractional integro-differential inclusions. Our results include the convex and non-convex cases for the givenproblem and rely on standard fixed point theorems for multivalued maps. The obtained results are illustrated with the aidof examples. The paper concludes with some interesting observations.
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
Reference36 articles.
1. F. Mainardi, Some basic problems in continuum and statistical mechanics, in: A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Berlin (1997), p. 291 – 348, https://doi.org/10.1007/978-3-7091-2664-6_7
2. W. Glockle, T. Nonnenmacher, A fractional calculus approach to self-similar protein dynamics, Biophys. J., 68, 46 – 53 (1995).
3. G. M. Zaslavsky, Hamiltonian chaos and fractional dynamics, Oxford Univ. Press, Oxford (2005).
4. R. L. Magin, Fractional calculus in bioengineering, Begell House Publ., (2006).
5. Z. M. Ge, C. Y. Ou, Chaos synchronization of fractional order modified Duffing systems with parameters excited by a chaotic signal, Chaos, Solitons and Fractals, 35, 705 – 717 (2008).