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Akademický článek

Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

Autor: Mallika D., Baleanu D., Suganya S., Arjunan M. Mallika

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 27, Iss 1, Pp 107-124 (2019)

The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces. Based on the Banach contraction principle and Krasnoselskii fixed poin

Externí odkaz: https://doaj.org/article/7391f0cce9104788abf50cc7f5077c40

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Akademický článek

Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order

Autor: Johnston S. J., Jafari H., Moshokoa S. P., Ariyan V. M., Baleanu D.

Publikováno v: Open Physics, Vol 14, Iss 1, Pp 247-252 (2016)

The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe. The Laplace homotopy perturbation method is discussed to obtain the approximate analytical so

Externí odkaz: https://doaj.org/article/6c6174575d884fe29da2692ae64eff0c

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Akademický článek

Non-local Integrals and Derivatives on Fractal Sets with Applications

Autor: Golmankhaneh Alireza K., Baleanu D.

Publikováno v: Open Physics, Vol 14, Iss 1, Pp 542-548 (2016)

In this paper, we discuss non-local derivatives on fractal Cantor sets. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved and compared. Related physica

Externí odkaz: https://doaj.org/article/d114f9e2c1a14d56a8b2879dfe873391

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Akademický článek

Exact controllability of fractional neutral integro-differential systems with state-dependent delay in Banach spaces

Autor: Kailasavalli S., Baleanu D., Suganya S., Mallika Arjunan M.

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 24, Iss 1, Pp 29-55 (2016)

In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent de

Externí odkaz: https://doaj.org/article/cf9f31cc48914ff3a9239d2e063c1bed

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