Analyzing Uniqueness of Solutions in Nonlinear Fractional Differential Equations with Discontinuities Using Lebesgue Spaces by Farva Hafeez, Mdi Begum Jeelani, Nouf Abdulrahman Alqahtani

“…We explore the existence and uniqueness of solutions to nonlinear fractional differential equations (FDEs), defined in the sense of RL-fractional derivatives of order <inline-formula><math display="inline"><semantics><mrow><mi>η</mi><mo>∈</mo><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inline-formula>. …”
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Multiple Positive Solutions for a System of Nonlinear Caputo-Type Fractional Differential Equations by Hongyu Li, Yang Chen

“…By using fixed-point index theory, we consider the existence of multiple positive solutions for a system of nonlinear Caputo-type fractional differential equations with the Riemann-Stieltjes boundary conditions.…”
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Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations by Yansheng Liu

“…This paper is concerned with the existence of positive solutions for a class of boundary value problems of fractional differential equations with parameter. The main tools used here are bifurcation techniques and topological degree theory. …”
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Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance by Lei Hu, Shuqin Zhang, Ailing Shi

“…We establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. …”
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Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices by Mohsen Alipour, Dumitru Baleanu

“…We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the Bernstein polynomials (BPs). …”
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative by Xin Liu, Kamran, Yukun Yao

“…We apply LT to the given fractional differential equation, which reduces it to an algebraic equation. …”
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Existence of Positive Solutions for Multiterm Fractional Differential Equations of Finite Delay with Polynomial Coefficients by A. Babakhani, E. Enteghami

“…Daftardar-Gejji (2003) in case of multiterm nonautonomous fractional differential equations with constant coefficients. In the present paper we discuss existence of positive solutions in case of multiterm fractional differential equations of finite delay with polynomial coefficients.…”
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Optimal Controls for a Class of Impulsive Katugampola Fractional Differential Equations with Nonlocal Conditions by Xingru Chen, Haibo Gu, Yu Sun

“…In this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. …”
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Existence Results for Fractional Differential Equations with Multistrip Riemann–Stieltjes Integral Boundary Conditions by Tongling Lv, Huihui Pang, Limei Cao

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New Gronwall-Bellman Type Inequalities and Applications in the Analysis for Solutions to Fractional Differential Equations by Bin Zheng, Qinghua Feng

“…The inequalities established can also be used as a handy tool in the research of qualitative as well as quantitative analysis for solutions to some fractional differential equations defined in the sense of the modified Riemann-Liouville fractional derivative. …”
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Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions by HuiChol Choi, YongSim Sin, KumSong Jong

“…In this paper, we study the solvability of a class of nonlinear multiorder Caputo fractional differential equations with integral and antiperiodic boundary conditions. …”
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A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions by Wafa Shammakh

“…Existence and uniqueness results of positive solutions to nonlinear boundary value problems for Caputo-Hadamard fractional differential equations by using some fixed point theorems are presented. …”
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Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations by Mohamed Hannabou, Hilal Khalid

“…The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. …”
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Generalized Antiperiodic Boundary Value Problems for the Fractional Differential Equation with p-Laplacian Operator by Zhi-Wei Lv, Xu-Dong Zheng

“…We discuss the existence of solutions about generalized antiperiodic boundary value problems for the fractional differential equation with p-Laplacian operator , , , , , , where is the Caputo fractional derivative, , , , and , , , . …”
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A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications by Yuji Liu, Bashir Ahmad

“…We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. …”
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Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions by Imed Bachar, Hassan Eltayeb

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Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by I. J. Cabrera, J. Harjani, K. B. Sadarangani

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Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions by SunAe Pak, KumSong Jong, KyuNam O, HuiChol Choi

“…In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point theorem and Banach contraction mapping principle. …”
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Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations by Zoubida Bouazza, Mohammed Said Souid, Hatıra Günerhan, Ali Shokri

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An Extension of the Double G′/G, 1/G-Expansion Method for Conformable Fractional Differential Equations by Altaf A. Al-Shawba, Farah A. Abdullah, Amirah Azmi, M. Ali Akbar

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