Fractional-order analysis and optimal control of the NERA model: stability, sensitivity, and numerical validation. [PDF]
Pandey A, Ghosh S.
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Dynamic fractional-order ISDR rumor propagation model incorporating refutation mechanism in complex networks. [PDF]
Zhu W.
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Fractional order tracking control of a disturbed differential mobile robot. [PDF]
Aguilar-Pérez JI +3 more
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Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions. [PDF]
Abdulnabi FF, Al-Janaby HF, Ghanim F.
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Utilizing fractional-order operator to Alzheimer's disease dynamics. [PDF]
Nisar KS, Farman M.
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A unified Haar wavelet collocation framework for fractional volterra integro-differential equations with application to tumor-immune dynamics modeling. [PDF]
Hamood MM, Sharif AA, Ghadle KP.
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Here we present the right and left Riemann–Liouville fractional fundamental theorems of fractional calculus without any initial conditions for the first time. Then we establish a Riemann–Liouville fractional Polya type integral inequality with the help of generalised right and left Riemann–Liouville fractional derivatives. The amazing fact here is that
Anastassiou, George A. +1 more
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Some Riemann–Liouville fractional integral inequalities for convex functions
Journal of Analysis, 2018We are pleased to investigate some Riemann–Liouville fractional integral inequalities in a very simple and novel way. By using convexity of a function f and a simple inequality over the domain of f we establish some interesting results.
Ghulam Farid
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Fractional zero-phase filtering based on the Riemann–Liouville integral
Signal Processing, 2014In this paper, two novel and computationally efficient, zero-phase filtering techniques are proposed based on the Riemann-Liouville integral. Thanks to the reverse phase characteristics of backward filtering, an overall zero-phase effect can be achieved by cascading a fractional forward filtering with a fractional backward filtering, and vice versa ...
Xudong Gao, Yongqiang Ye
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Some integral inequalities for (k, s) – Riemann-Liouville fractional operators [PDF]
WOS: 000456137400008In this paper, by using a new fractional integral approach of M.Z. Sarikaya et al., we establish new generalized fractional integral inequalities involving (k, s) - Riemann-Liouville integral operators.
Mehmet Zeki Sarikaya, Mohamed Houas
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