About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory.
De La Sen, M. (2011)
Fixed Point Theory and Applications [electronic only]
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De La Sen, M. (2011)
Fixed Point Theory and Applications [electronic only]
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De La Sen, M. (2011)
Abstract and Applied Analysis
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Svatoslav Staněk (2014)
Open Mathematics
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In the first part, we investigate the singular BVP , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where is a continuous operator, α ∈ (0, 1) and a < 0. Here, c D denotes the Caputo fractional derivative. The existence result is proved by the Leray-Schauder nonlinear alternative. The second part establishes the relations between solutions of the sequence of problems , u(0) = A, u(1) = B, where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t,...
Abbas, Saïd, Benchohra, Mouffak, Nieto, Juan J. (2011)
Advances in Difference Equations [electronic only]
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Ouyang, Zigen, Chen, Yuming, Zou, Shuliang (2011)
Boundary Value Problems [electronic only]
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Yakar, Coşkun, Yakar, Ali (2010)
Abstract and Applied Analysis
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T. M. Atanacković, S. Pilipović, B. Stanković (2012)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Milan Medveď (2014)
Mathematica Bohemica
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A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular...
Babakhani, Azizollah, Baleanu, Dumitru (2011)
Advances in Difference Equations [electronic only]
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Momani, Shaher, Hadid, Samir (2004)
International Journal of Mathematics and Mathematical Sciences
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