On a New Class of Antiperiodic Fractional Boundary Value Problems by Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi, Nadia Mohamad

“…This paper investigates a new class of antiperiodic boundary value problems of higher order fractional differential equations. Some existence and uniqueness results are obtained by applying some standard fixed point principles. …”
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Positive Solutions for Singular p-Laplacian Fractional Differential System with Integral Boundary Conditions by Liping Wang, Zongfu Zhou, Hui Zhou

“…This paper investigates the existence of positive solutions for a class of singular p-Laplacian fractional differential equations with integral boundary conditions. …”
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Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials” by Ji-Huan He

“…A standard variational iteration algorithm for fractional differential equations is suggested.…”
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Monotonicity, Concavity, and Convexity of Fractional Derivative of Functions by Xian-Feng Zhou, Song Liu, Zhixin Zhang, Wei Jiang

“…The monotonicity of the solutions of a class of nonlinear fractional differential equations is studied first, and the existing results were extended. …”
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Global Stability for Fractional Diffusion Equations in Biological Systems by Khalid Hattaf, Noura Yousfi

“…This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. …”
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Existence of Solutions of α∈(2,3] Order Fractional Three-Point Boundary Value Problems with Integral Conditions by N. I. Mahmudov, S. Unul

“…Existence and uniqueness of solutions for α∈(2,3] order fractional differential equations with three-point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. …”
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Coincidence Fixed-Point Theorems for p-Hybrid Contraction Mappings in Gb-Metric Space with Application by Lucas Wangwe

“…Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.…”
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Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates by Ya-Juan Hao, H. M. Srivastava, Hossein Jafari, Xiao-Jun Yang

“…The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative examples for the Helmholtz and diffusion equations on the Cantor sets are shown by making use of the Cantorian and Cantor-type cylindrical coordinates.…”
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An Iterative Method for Time-Fractional Swift-Hohenberg Equation by Wenjin Li, Yanni Pang

“…Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.…”
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Theoretical and numerical study of profit in agricultural sector model using wavelet method by Yeshwanth R., Kumbinarasaiah S.

“…The operational matrices are used to simplify fractional differential equations to an algebraic system of equations. …”
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Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators by Walid Benhadda, Abderrazak Kassidi, Ali El Mfadel, Elomari M'hamed

“…This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space. …”
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Solution of Moving Boundary Space-Time Fractional Burger’s Equation by E. A.-B. Abdel-Salam, E. A. Yousif, Y. A. S. Arko, E. A. E. Gumma

“…The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. …”
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Some Properties of Solutions to Multiterm Fractional Boundary Value Problems with p-Laplacian Operator by KumSong Jong, HuiChol Choi, KyongJun Jang, SongGuk Jong, KyongSon Jon, Ok Ri

“…In this paper, we study some properties of positive solutions to a class of multipoint boundary value problems for nonlinear multiterm fractional differential equations with p-Laplacian operator. Using the Banach contraction mapping principle, the existence, the uniqueness, the positivity, and the continuous dependency on m-point boundary conditions of the solutions to the given problem are investigated. …”
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On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) by Mohammed M. Matar, Esmail S. Abu Skhail

“…We study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(1,2). We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. …”
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Hyers–Ulam–Mittag-Leffler Stability for a System of Fractional Neutral Differential Equations by Manzoor Ahmad, Jiqiang Jiang, Akbar Zada, Zeeshan Ali, Zhengqing Fu, Jiafa Xu

“…This article concerns with the existence and uniqueness for a new model of implicit coupled system of neutral fractional differential equations involving Caputo fractional derivatives with respect to the Chebyshev norm. …”
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Positive Solutions of a Generalized Nonautonomous Fractional Differential System by Mohammed S. Abdo, Heba Y. Zahran, El Sayed Yousef, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty

“…In this work, we investigate the existence and uniqueness of positive solutions to a system of nonautonomous fractional differential equations. The fractional derivative of the system at hand is ψ- Riemann–Liouville fractional derivative. …”
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A New Fractional Representation of the Higher Order Taylor Scheme by Iqbal M. Batiha, Iqbal H. Jebril, Amira Abdelnebi, Zoubir Dahmani, Shawkat Alkhazaleh, Nidal Anakira

“…In this work, we suggest a new numerical scheme called the fractional higher order Taylor method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized Taylor’s theorem is the fundamental concept of this approach. …”
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Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion by Jia Mu, Jiecuo Nan, Yong Zhou

“…In this paper, a generalized Gronwall inequality is demonstrated, playing an important role in the study of fractional differential equations. In addition, with the fixed-point theorem and the properties of Mittag–Leffler functions, some results of the existence as well as asymptotic stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion are obtained. …”
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A Note on Impulsive Fractional Evolution Equations with Nondense Domain by Zufeng Zhang, Bin Liu

“…Some errors in the existing paper concerned with nondensely defined fractional differential equations are pointed out, and correct formula of integral solutions is established by using integrated semigroup and some probability densities. …”
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The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems by Dumitru Baleanu, Sayyedeh Zahra Nazemi, Shahram Rezapour

“…There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. …”
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