Multiparameter Fractional Difference Linear Control Systems by Dorota Mozyrska

“…The Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. …”
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Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order by Yang Liu, Zhang Weiguo

“…We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point theorem. …”
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Application of the Multistep Generalized Differential Transform Method to Solve a Time-Fractional Enzyme Kinetics by Ahmed Alawneh

“…The fractional derivatives are described in the Caputo sense. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. …”
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Solvability of Some Fractional Boundary Value Problems with a Convection Term by Yongfang Wei, Zhanbing Bai

“…This paper is devoted to the research of some Caputo’s fractional derivative boundary value problems with a convection term. …”
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Rapid Convergence of Approximate Solutions for Fractional Differential Equations by Xiran Wu, Junyan Bao, Yufeng Sun

“…In this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by establishing the convergence of order k (k≥2).…”
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Axisymmetric Solutions to Time-Fractional Heat Conduction Equation in a Half-Space under Robin Boundary Conditions by Y. Z. Povstenko

“…The time-fractional heat conduction equation with the Caputo derivative of the order 0<𝛼<2 is considered in a half-space in axisymmetric case under two types of Robin boundary condition: the mathematical one with the prescribed linear combination of the values of temperature and the values of its normal derivative and the physical condition with the prescribed linear combination of the values of temperature and the values of the heat flux at the boundary.…”
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Texture effects in TiB2 coatings electrodeposited from a NaCl-KCl-K2TiF6-NaF-NaBF4 melt at 700 °c by Krendelsberger R., Souto M.F., Sytchev J., Besenhard J.O., Fafilek G., Kronberger H., Nauer G.E.

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Submission and Agency, or the Role of the Reader in the First Editions of Lewis Carroll’s Alice’s Adventures in Wonderland (1865) and Through the Looking-Glass (1871) by Virginie Iché

“…This article analyzes the role of the reader of the first editions of Lewis Carroll’s Alice’s Adventures in Wonderland and Through the Looking-Glass. Exploring the layout of the original editions shows that, though they sometimes require the reader’s submission to their ploys, they also not infrequently empower her. …”
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Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order by Asma Ali Elbeleze, Adem Kiliçman, Bachok M. Taib

“…The fractional derivatives are described in Caputo sense. Some illustrative examples are presented.…”
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Rachunek sozologiczny instrumentem w polityce i ekonomii środowiskowej by Mariusz Ciszek, Andrzej W. Świderski

“…Particularly marked interaction of connection between ecological losses and sociological calculation. Layout for this study is as follow: eco-development as goal for politics and environmental economy, ecological losses in microeconomic and macroeconomic, evaluation in ecological harms in sociological calculation.…”
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Houses in the Wood to enjoy the Sun and the Stars by Elena Mucelli

“…The photographs of the hotel, taken from the perspectives mentioned by the author and the angle argued from the general layout, are a way to understand the relationships between man, architecture and landscape, as suggested by the drawings and descriptions of the project.…”
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The quality of experience–oriented personal message acquisition optimization for intelligent apparatus in space information networks by Changhua Yao, Lei Zhu

“…The quality of experience for persons during achieving the synthetical message rapidly and exactly through the apparatus is significant to the apparatus layout. In this article, we presented a quality of experience–oriented synthetical statistical analysis optimization approach for the personal message acquisition for intelligent apparatus. …”
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A Numerical Method for Delayed Fractional-Order Differential Equations by Zhen Wang

“…The order here is an arbitrary positive real number, and the differential operator is with the Caputo definition. The general Adams-Bashforth-Moulton method combined with the linear interpolation method is employed to approximate the delayed fractional-order differential equations. …”
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Landscape Design with Edibles by Gail Hansen

“…Gardens with plants that change considerably with the seasons rely more on an organized yet interesting layout, appealing support structures, functional pathways, and colorful containers and planters to provide interest and beauty when the plants are not taking center stage. …”
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A Hybrid Natural Transform Homotopy Perturbation Method for Solving Fractional Partial Differential Equations by Shehu Maitama

“…In this analytical method, the fractional derivative is computed in Caputo sense and the nonlinear term is calculated using He’s polynomial. …”
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Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations by Xiangling Li, Azmat Ullah Khan Niazi, Farva Hafeez, Reny George, Azhar Hussain

“…The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed-point theorem (SFPT) related to the method of measure of noncompactness (MNC). …”
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Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations by M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei

“…The fractional derivative is regarded in Caputo sense. Numerical evaluations are included to demonstrate the validity and applicability of this technique.…”
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A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations by Thabet Abdeljawad, Betül Benli, Dumitru Baleanu

“…Some Caputo q-fractional difference equations are solved. …”
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Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations by Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas

“…Some new weakly singular Henry-Gronwall type integral inequalities with “maxima” are established in this paper. Applications to Caputo fractional differential equations with “maxima” are also presented.…”
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Landscape Design with Edibles by Gail Hansen

“…Gardens with plants that change considerably with the seasons rely more on an organized yet interesting layout, appealing support structures, functional pathways, and colorful containers and planters to provide interest and beauty when the plants are not taking center stage. …”
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