Fractional Differential Equations 2012 by Fawang Liu, Om P. Agrawal, Shaher Momani, Nikolai N. Leonenko, Wen Chen

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An Efficient Series Solution for Fractional Differential Equations by Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam

“…The algorithm can be implemented for a wide class of fractional differential equations with different types of fractional derivatives.…”
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Existence of Iterative Cauchy Fractional Differential Equation by Rabha W. Ibrahim

“…Our main aim in this paper is to use the technique of nonexpansive operators in more general iterative and noniterative fractional differential equations (Cauchy type). The noninteger case is taken in sense of the Riemann-Liouville fractional operators. …”
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New Method for Solving Linear Fractional Differential Equations by S. Z. Rida, A. A. M. Arafa

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Analytic Solution of a Class of Fractional Differential Equations by Yue Hu, Zuodong Yang

“…We consider the analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods. …”
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Positive Solutions of Fractional Differential Equation with -Laplacian Operator by Teng Ren, Xiaochun Chen

“…In this paper, we study an ecological model arising from ecological economics by mathematical method, that is, study the existence of positive solutions for the fractional differential equation with -Laplacian operator , , , , , and , where are the standard Riemann-Liouville derivatives, -Laplacian operator is defined as , and the nonlinearity may be singular at both and By finding more suitable upper and lower solutions, we omit some key conditions of some existing works, and the existence of positive solution is established.…”
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Stability Analysis of Distributed Order Fractional Differential Equations by H. Saberi Najafi, A. Refahi Sheikhani, A. Ansari

“…We analyze the stability of three classes of distributed order fractional differential equations (DOFDEs) with respect to the nonnegative density function. …”
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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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Existence for Certain Systems of Nonlinear Fractional Differential Equations by Zhaowen Zheng, Xiujuan Zhang, Jing Shao

“…By establishing a comparison result and using the monotone iterative technique, combining with the method of upper and lower solutions, the existence of solutions for systems of nonlinear fractional differential equations is considered. An example is given to demonstrate the applicability of our results.…”
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Analysis of Fractional Differential Equations with the Help of Different Operators by Naveed Iqbal, Moteb Fheed Saad Al Harbi, Saleh Alshammari, Shamsullah Zaland

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Eigenvalue of Fractional Differential Equations with p-Laplacian Operator by Wenquan Wu, Xiangbing Zhou

“…By constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of fractional differential equation is established.…”
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The Existence and Uniqueness of a Class of Fractional Differential Equations by Zhanbing Bai, Sujing Sun, YangQuan Chen

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Positive Solutions for Coupled Nonlinear Fractional Differential Equations by Wenning Liu, Xingjie Yan, Wei Qi

“…We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. …”
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Impulsive Multiorders Riemann-Liouville Fractional Differential Equations by Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon

“…Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space. …”
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Generalized Kudryashov Method for Time-Fractional Differential Equations by Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut

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Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations by Wen-Xue Zhou, Ji-Gen Peng, Yan-Dong Chu

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Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions by Xi Fu, Xiaoyou Liu

“…This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions. …”
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Positive Solutions to n-Order Fractional Differential Equation with Parameter by Jing-jing Tan, Cong Tan, Xueling Zhou

“…By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. …”
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Existence and Compactness Results for a System of Fractional Differential Equations by Cheikh Guendouz, Jamal Eddine Lazreg, Juan J. Nieto, Abdelghani Ouahab

“…The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. …”
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The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type by Hui Liu, Run Xu

“…In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and 0<α≤1. …”
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