Existence and uniqueness results of some fractional BVP
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CitationSeddiki, H. ve Mazouzi, S. (2009). Existence and uniqueness results of some fractional BVP. Maltepe Üniversitesi. s. 185.
In recent years the fractional derivatives have considerably received a great interest of a lot of investigators. As a matter of fact they have been successfully applied in several fields of science and engineering such as viscoelastic materials, electrotechnical processes as well as signal processing. Actually, the concept of fractional derivatives is a systematic generalization of the classical derivatives to non integral orders which gives reliable models in engineering and other fields of science better than those based on the ordinary derivatives. Our contribution in this matter is the investigation of the existence and uniqueness of the fractional boundary value problem, where cDα 0 is Caputo’s fractional derivative, f : [0, T] × R × R → R is a continuous function, a1, a2, b1, b2, c1, and c2 are given real constants. By using the Banach fixed point theorem we establish the existence of a unique continuously differentiable solution to the above BVP.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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