Results 21 to 30 of about 4,186,617 (302)
Nonlinear DNA dynamics: Nonlinearity versus dispersion [PDF]
Applied Mathematics and Computation, 2013 In the present paper we study the impact of dispersion and nonlinearity on DNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the fact that nonlinear DNA dynamics represents an interplay between nonlinearity and dispersion. We state that a dispersion coefficient and a coefficient of nonlinearity, existing in nonlinear Schrödinger ...
Slobodan Zdravkovic, Miljko V. Sataric
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Mathematics, 2019 In this paper, we study the existence and uniqueness of solution for fractional differential equations with mixed fractional derivatives, integrals and multi-point conditions.
Suphawat Asawasamrit +3 more
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Nonlinear dynamics of cilia and flagella [PDF]
Physical Review E, 2009 19 pages, 5 ...
Hilfinger, A. +2 more
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Advances in Mathematical Physics, 2021 In this research work, we study a new class of ψ-Hilfer hybrid fractional integro-differential boundary value problems with nonlocal boundary conditions.
Chanakarn Kiataramkul +2 more
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Mathematics, 2021 In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving the Hilfer fractional derivative.
Nawapol Phuangthong +3 more
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On the Second-Order Quantum (p,q)-Difference Equations with Separated Boundary Conditions
Advances in Mathematical Physics, 2018 In this paper, we investigate the existence and uniqueness of solutions for a boundary value problem for second-order quantum (p,q)-difference equations with separated boundary conditions, by using classical fixed point theorems.
Chanon Promsakon +3 more
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Boundary Value Problems, 2019 Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term.
Aphirak Aphithana +2 more
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Advances in Difference Equations, 2019 In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana +2 more
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Axioms, 2021 In this paper, we initiate the study of existence of solutions for a fractional differential system which contains mixed Riemann–Liouville and Hadamard–Caputo fractional derivatives, complemented with nonlocal coupled fractional integral boundary ...
Chanakarn Kiataramkul +3 more
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Epilepsy and Nonlinear Dynamics [PDF]
Journal of Biological Physics, 2008 This overview summarizes findings obtained from analyzing electroencephalographic (EEG) recordings from epilepsy patients with methods from the theory of nonlinear dynamical systems. The last two decades have shown that nonlinear time series analysis techniques allow an improved characterization of epileptic brain states and help to gain deeper ...
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