Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations by Zhanbing Bai, Weichen Sun, Weihai Zhang

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Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations by Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li

“…We study the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations D0+αu(t)+λf(u(t))=0, 0<t<1, u(0)=u(1)=u'(0)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative, λ is a positive parameter, and f:(0,+∞)→(0,+∞) is continuous. …”
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Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations by D. Baleanu, H. Mohammadi, Sh. Rezapour

“…We investigate the existence and multiplicity of positive solutions for the nonlinear fractional differential equation initial value problem D0+αu(t)+D0+βu(t)=f(t,u(t)), u(0)=0, 0<t<1, where 0<β<α<1, D0+α is the standard Riemann-Liouville differentiation and f:[0,1]×[0,∞)→[0,∞) is continuous. …”
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Positive Solutions for a System of Fractional Differential Equations with Two Parameters by Hongyu Li, Junting Zhang

“…In this paper, the existence of positive solutions in terms of different values of two parameters for a system of conformable-type fractional differential equations with the p-Laplacian operator is obtained via Guo-Krasnosel’skii fixed point theorem.…”
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Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations by Ping Yu, Hongju Li, Jian Ding, Yanli Ma

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Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions by Adel Al-Rabtah, Shaher Momani, Mohamed A. Ramadan

“…Suitable spline functions of polynomial form are derived and used to solve linear and nonlinear fractional differential equations. The proposed method is applicable for 0<α≤1 and α≥1, where α denotes the order of the fractional derivative in the Caputo sense. …”
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Terminal value problem for the system of fractional differential equations with additional restrictions by Oleksandr Boichuk, Viktor Feruk

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The Extended Trial Equation Method for Some Time Fractional Differential Equations by Yusuf Pandir, Yusuf Gurefe, Emine Misirli

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Some Existence Results for a System of Nonlinear Fractional Differential Equations by Eskandar Ameer, Hassen Aydi, Hüseyin Işık, Muhammad Nazam, Vahid Parvaneh, Muhammad Arshad

“…This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. Some examples and consequences are also given.…”
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations by Özkan Güner, Adem C. Cevikel

“…We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. …”
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Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance by Bingzhi Sun, Shuqin Zhang, Weihua Jiang

“…We establish novel results on the existence of impulsive problems for fractional differential equations with functional boundary value conditions at resonance with dim⁡Ker L=1. …”
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Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay by Azizollah Babakhani

“…We investigate the existence and uniqueness of positive solution for system of nonlinear fractional differential equations in two dimensions with delay. …”
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Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative by Changyou Wang, Haiqiang Zhang, Shu Wang

“…This paper is concerned with a nonlinear fractional differential equation involving Caputo derivative. By constructing the upper and lower control functions of the nonlinear term without any monotone requirement and applying the method of upper and lower solutions and the Schauder fixed point theorem, the existence and uniqueness of positive solution for the initial value problem are investigated. …”
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Least-Squares Residual Power Series Method for the Time-Fractional Differential Equations by Jianke Zhang, Zhirou Wei, Lifeng Li, Chang Zhou

“…In this study, an applicable and effective method, which is based on a least-squares residual power series method (LSRPSM), is proposed to solve the time-fractional differential equations. The least-squares residual power series method combines the residual power series method with the least-squares method. …”
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The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations by Yanli Chen, Yongxiang Li

“…We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. …”
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Existence and Uniqueness of Positive Solutions for a Coupled System of Fractional Differential Equations by Hanying Feng, Xiaofeng Zhang

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Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian by Ya-ling Li, Shi-you Lin

“…We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 1<t<e, u1=u′1=u′e=0, Dαu1=Dαue=0, where the continuous function f:1,e×0,+∞→[0,+∞), 2<α≤3, 1<β≤2. …”
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Numerical simulation of fuzzy fractional differential equations using a reliable technique by Shreya Mukherjee, Amit Kumar, Samaresh Kumbhakar

Subjects: “…fuzzy fractional differential equations…”
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Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference by Muhammed Çiçek, Coşkun Yakar, Bülent Oğur

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Some Weakly Singular Integral Inequalities and Their Applications to Tempered Fractional Differential Equations by Abdellatif Ben Makhlouf, Djalal Boucenna, A.M. Nagy, Lassaad Mchiri

“…Several applications for fractional differential equations in the Caputo context have been derived using tempered fractional differential equations.…”
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