Analyzing Riemann-Liouville constraints in second-order Lagrangian fractional electrodynamic models. [PDF]
Alawaideh YM, Al-Khamiseh BM, Adu IK.
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Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]
Lin YH, Tyni T, Zimmermann P.
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Feedback design to measure the effect of therapies in controlling cancer using the fractional approach. [PDF]
Nisar KS +3 more
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Modeling gonorrhea and HIV coinfection with predictive analytics for disability and mortality risks. [PDF]
Ramzan Y +5 more
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Least squares residual power series solutions for Kawahara and Rosenau-Hyman nonlinear wave interactions with applications in fluid dynamics. [PDF]
Hassan A +4 more
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Phase plane analysis and novel soliton solutions for the space-time fractional Boussinesq equation using two robust techniques. [PDF]
Younas T, Ahmad J.
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On solutions of fractional differential equations
AIP Conference Proceedings, 2018In this paper, we obtain exact and approximate solutions of differential equations by reproducing kernel Hilbert space method. We demonstrate our solutions by series.
Akgul, A., Sakar, M. Giyas
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Fractional differential equations and the Schrödinger equation
Applied Mathematics and Computation, 2005The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
Faycal Ben Adda, Jacky Cresson
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Multivalued fractional differential equations
Applied Mathematics and Computation, 1995The authors study the Cauchy problem of a multivalued fractional differential equation as a consequent result of the study of Cauchy problem of fractional differential equations in the Banach space \(E\). They prove some theorems and present their existence and some other properties.
Ahmed M. A. El-Sayed, Ahmed Ibrahim
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