Results 81 to 90 of about 274 (176)
An investigation of fractional Bagley-Torvik equation
Open Mathematics, 2019 In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
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Controlo ótimo fracionário e aplicações biológicas [PDF]
, 2022 In this PhD thesis, we derive a Pontryagin Maximum Principle (PMP) for fractional optimal control problems and analyze a fractional mathematical model of COVID– 19 transmission dynamics.
Ndaïrou, Faïçal
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Fractional powers approach of operators for abstract evolution equations of third order in time [PDF]
, 2020 In this work we study third order linear evolution equations in time, in the sense of theory of strongly continuous one-parameter semigroups, and approximations them of fractional order via theory of the fractional powers of closed and densely de ned ...
Santos, Lucas Araújo
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Computational and Mathematical BiophysicsIn this manuscript, we examine the blood alcohol model to investigate the dynamics of alcohol concentration in the human body. The classical model of blood alcohol concentration is converted into the fractional model by using Caputo, Caputo-Fabrizio (CF),
Prakash Amit, Kalyan Neha, Ahuja Sanjeev
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Improvements on flat output characterization for fractional systems
, 2015 International audienceIn trajectory planning, flatness is used to compute inputs generating suitable trajectories, without using any integration. The flatness property of linear controllable time-invariant fractional systems is studied.
Victor, Stephane +3 more
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Open Physics, 2019 In this paper, we study the synchronization of fractional–order discrete–time chaotic systems by means of two scaling matrices Θ and Φ. The considered synchronization scheme can be tailored to encompass several types of classical synchronization types ...
Ouannas Adel +5 more
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Open Mathematics, 2016 We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions.
Aqlan Mohammed H. +3 more
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, 2017 The aim of this paper is developing conditions that guarantee the existence of a solution to a toppled system of differential equations of noninteger order with fractional integral boundary conditions where the nonlinear functions involved in the ...
Shah, Kamal +7 more
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Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative
Demonstratio MathematicaRiesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
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