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In this paper we are concerned with the mixed type integral inclusion [formula/wzór]. The existence of monotonic continuous solution will be proved. As an application the initial-value problem of the arbitrary (fractional) orders differential inclusion [formula/wzór] will be studied.
Czasopismo
Rocznik
Tom
Strony
27-34
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
Bibliografia
- [1] A. Bressan and G. Colombo, Extensions and selections of maps with decomposable values, Studia Math. 90 (1988), 69-86.
- [2] M. Caputo, Linear model of dissipation whose Q is almost frequency independent II, Geophys. J. R. Astr. Soc. Vol. 13 (1967), 529-539.
- [3] M. Cichoń, Multivalued perturbations of m-accretive differential inclusions in a non-separable Banach space, Commentationes Math. 32 (1992), 11-17.
- [4] R. F. Curtain and A. J. Pritchard, Functional Analysis in Modern Applied Mathematics, Academic press. (1977).
- [5] M. Cichoń, A. M. A. El-Sayed and A. H. Hussien, Existence theorems for nonlinear functional integral equations of fractional orders, Commentationes Mathematicae XLI (2001), 59-67.
- [6] W. G. El-Sayed and A. M. A. El-Sayed, On the functional integral equations of mixed type and integro-differtial equations of fractional orders (2003).
- [7] K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiely and Sons Inc. (1993).
- [8] V. Lakshmikantham, S. Leela, Differential and Integral Inequalities, Vol.1 Academic press, New York-London (1969).
- [9] I. Podlubny, Fractional Differential Equation, Acad. Press, San Diego-New York-London (1999).
- [10] I. Podlubny and A. M. A. EL-Sayed, On two definitions of fractional calculus, Preprint UEF 03-69 (ISBN 80-7099-252-2), Solvak Academy of Science-Institute of Experimental Phys. (1996).
- [11] D. Repovs and P. V. Semenov, Continuous Selection of Multivalued Mappings, Kluwer Academic Press (1998).
- [12] S. G. Samko, A. A. Kilbas and O. Marichev, Integrals and Derivatives of Fractional Orders and Some of their Applications, Nauka i Teknika, Minsk (1987).
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Bibliografia
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bwmeta1.element.baztech-article-PWA7-0043-0022