Stability of a monotonic solution of a non-autonomous multidimensional delay differential equation of arbitrary (fractional) order.

El-Sayed, A.M.A.; El-Maghrabi, E.M.

Displaying similar documents to “Stability of a monotonic solution of a non-autonomous multidimensional delay differential equation of arbitrary (fractional) order.”

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De La Sen, M. (2011)

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Positivity and stability of the solutions of Caputo fractional linear time-invariant systems of any order with internal point delays.

De La Sen, M. (2011)

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Fractional BVPs with strong time singularities and the limit properties of their solutions

Svatoslav Staněk (2014)

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In the first part, we investigate the singular BVP ${\frac{d}{d t}}^{c} D^{α} u + {(a / t)}^{c} D^{α} u = ℋ u$ , u(0) = A, u(1) = B, c D α u(t)|t=0 = 0, where $ℋ$ 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 ${\frac{d}{d t}}^{c} D^{α_{n}} u + {(a / t)}^{c} D^{α_{n}} u = f (t, u,^{c} D^{β_{n}} u)$ , u(0) = A, u(1) = B, ${^{c} D^{α_{n}} u (t)|}_{t = 0} = 0$ where a < 0, 0 < β n ≤ α n < 1, limn→∞ β n = 1, and solutions of u″+(a/t)u′ = f(t,...

Global uniqueness results for fractional order partial hyperbolic functional differential equations.

Abbas, Saïd, Benchohra, Mouffak, Nieto, Juan J. (2011)

Advances in Difference Equations [electronic only]

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A refinement of quasilinearization method for Caputo's sense fractional-order differential equations.

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A theory of linear differential equations with fractional derivatives

T. M. Atanacković, S. Pilipović, B. Stanković (2012)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Functional-differential equations with Riemann-Liouville integrals in the nonlinearities

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...

Employing of some basic theory for class of fractional differential equations.

Babakhani, Azizollah, Baleanu, Dumitru (2011)

Advances in Difference Equations [electronic only]

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Lyapunov stability solutions of fractional integrodifferential equations.

Momani, Shaher, Hadid, Samir (2004)

International Journal of Mathematics and Mathematical Sciences

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