On two general nonlocal differential equations problems of fractional orders
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DOI:
https://doi.org/10.26637/MJM0603/0003Abstract
In this paper, we prove some local and global existence theorems for a fractional orders differential equations with nonlocal conditions, also the uniqueness of the solution will be studied.
Keywords:
Fractional calculus, fractional order differential equations with nonlocal conditions.Mathematics Subject Classification:
Mathematics- Pages: 478-482
- Date Published: 01-07-2018
- Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)
Deimling, K. Nonlinear Functional Analysis, SpringerVerlag (1985).
Dugundji, J. Granas, A. Fixed Point theory, Monografie Mathematyczne, PWN, Warsaw (1982).
El-Sayed, A. M. A. and Abd El-Salam, Sh. A. On the stability of a fractional-order differential equation with nonlocal initial condition, EJQTDE, 29 (2008) 1-8.
El-Sayed, A. M. A. and Abd El-Salam, Sh. A. Nonlocal boundary value problem of a fractional-order functional diffrential equation, Inter. J. of Non. Sci. (2009).
El-Sayed, A. M. A. and Abd El-Salam, Sh. A. Solvability of a nonlocal boundary value problem of a fractionalorder diffrential equation, Math. Sci. Res. J. (2009).
El-Sayed, A. M. A., Abd-El-Rahman, R. O. and ElGendy, M. Continuous dependence of the solution of a stochastic differential equation with nonlocal conditions, Malaya J. Mat. 4(3)(2016), 488-496.
El-Sayed, A. M. A. and Abd El-Salam, Sh. A. Solvability of some fractional-order three point boundary value problems, Malaya J. Mat. 6(2)(2018), 390-395.
Miller, K. S. and Ross, B. An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley, New York (1993).
Podlubny, I. and EL-Sayed, A. M. A. On two definitions of fractional calculus, Preprint UEF 03-96 (ISBN 80-7099-252-2), Slovak Academy of Science-Institute of Experimental phys. (1996).
Podlubny, I. Fractional Differential Equations, Acad. press, San Diego-New York-London (1999).
Samko, S., Kilbas, A. and Marichev, O. L. Fractional Integrals and Derivatives, Gordon and Breach Science Publisher, (1993).
Swartz, C. Measure, Integration and Function spaces, World Scientific, Singapore (1994).
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