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Title: | Existence of solutions for hybrid fractional pantograph equations | Authors: | Darwish, Mohamed Abdalla Sadarangani, Kishin |
UNESCO Clasification: | 12 Matemáticas | Keywords: | Banach algebras Hybrid Measure of noncompactness Pantograph equations Riemann-liouville |
Issue Date: | 2015 | Journal: | Applicable Analysis and Discrete Mathematics | Abstract: | In this paper, we study the existence of the hybrid fractional pantograph equation {Dα0+[x(t)/f(t,x(t),(μt))]=g(t,x(t),x(σt)), 0 < t < 1, x+(0)= 0, where α, μ, σ ε (0, 1) and Dα0+ denotes the Riemann-Liouville fractional derivative. The results are obtained using the technique of measures of noncompactness in the Banach algebras and a fixed point theorem for the product of two operators verifying a Darbo type condition. Some examples are provided to illustrate our results. | URI: | http://hdl.handle.net/10553/46721 | ISSN: | 1452-8630 | DOI: | 10.2298/AADM150126002D | Source: | Applicable Analysis and Discrete Mathematics [ISSN 1452-8630], v. 9 (1), p. 150-167 |
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