An Iterative Algorithm for Solving n-Order Fractional Differential Equation with Mixed Integral and Multipoint Boundary Conditions by Jingjing Tan, Xinguang Zhang, Lishan Liu, Yonghong Wu

“…In this paper, we consider the iterative algorithm for a boundary value problem of n-order fractional differential equation with mixed integral and multipoint boundary conditions. …”
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Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana–Baleanu–Caputo Derivative by Liyuan Zhao, Yirong Jiang

“…The aim of this article is to investigate a coupled hybrid system of fractional differential equations with the Atangana–Baleanu–Caputo derivative which contains a Mittag–Leffler kernel function in its kernel. …”
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Convergence Analysis of an Iteration Process for a Class of Generalized Nonexpansive Mappings with Application to Fractional Differential Equations by Kifayat Ullah, Sabri T. M. Thabet, Anwar Kamal, Junaid Ahmad, Fayyaz Ahmad

“…An application to solve a fractional differential equation (FDE) is also provided. It has been eventually shown that the K∗- iterative process of this example gives more accurate numerical results corresponding to some other iterative processes of the literature. …”
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Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions by Phollakrit Thiramanus, Sotiris K. Ntouyas, Jessada Tariboon

“…We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. …”
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Solving a system of Caputo-Hadamard fractional differential equations via Perov’s fixed point theorem by Nouar Aziza Souad, Nisse Khadidja, Beloul Said

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Modeling Drug Concentration Level in Blood Using Fractional Differential Equation Based on Psi-Caputo Derivative by Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abu Asbeh, Noureddine Ghiloufi

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Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems by Yongqing Wang

“…In this paper, we consider a class of fractional differential equations with conjugate type integral conditions. …”
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A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition by Mohamed Jleli, Lakhdar Ragoub, Bessem Samet

“…We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. …”
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A New Approach for the Approximate Analytical Solution of Space-Time Fractional Differential Equations by the Homotopy Analysis Method by Ali Demir, Mine Aylin Bayrak, Ebru Ozbilge

“…The first space-time fractional differential equation is transformed into a space fractional differential equation or a time fractional differential equation before the HAM. …”
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Existence and Uniqueness of Positive Solutions for Singular Nonlinear Fractional Differential Equation via Mixed Monotone Operator Method by Tian Wang, Zhaocai Hao

“…In this article, we discuss the existence and uniqueness of positive solution for a class of singular fractional differential equations, where the nonlinear term contains fractional derivative and an operator. …”
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Diverse Precise Traveling Wave Solutions Possessing Beta Derivative of the Fractional Differential Equations Arising in Mathematical Physics by Imran Siddique, Arshad M. Mirza, Kausar Shahzadi, M. Ali Akbar, Fahd Jarad

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Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space by Bo Liu, Yansheng Liu

“…This paper investigates the existence of positive solutions to a two-point boundary value problem (BVP) for singular fractional differential equations in Banach space and presents a number of new results. …”
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Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator by Jinhua Wang, Hongjun Xiang, ZhiGang Liu

“…We consider the existence and multiplicity of concave positive solutions for boundary value problem of nonlinear fractional differential equation with p-Laplacian operator D0+γ(ϕp(D0+αu(t)))+f(t,u(t),D0+ρu(t))=0, 0<t<1, u(0)=u′(1)=0, u′′(0)=0, D0+αu(t)|t=0=0, where 0<γ<1, 2<α<3, 0<ρ⩽1, D0+α denotes the Caputo derivative, and f:[0,1]×[0,+∞)×R→[0,+∞) is continuous function, ϕp(s)=|s|p-2s, p>1,  (ϕp)-1=ϕq,  1/p+1/q=1. …”
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Existence and Uniqueness Results for Two-Term Nonlinear Fractional Differential Equations via a Fixed Point Technique by H. R. Marasi, H. Aydi

“…The work addressed in this paper is to ensure the existence and uniqueness of positive solutions for initial value problems for nonlinear fractional differential equations with two terms of fractional orders. …”
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Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem by Hao Tao, Meichen Fu, Ru Qian

“…We study a fractional differential equation dynamics model arising from the analysis of real estate asset securitization by using the generalized fixed point theorem for weakly contractive mappings in partially ordered sets. …”
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Constructive Existence of (1,1)-Solutions to Two-Point Value Problems for Fuzzy Linear Multiterm Fractional Differential Equations by HuiChol Choi, SungHyok Kwon, Kinam Sin, Sunae Pak, Sungryol So

“…In this paper, we consider the following two-point boundary value problems of fuzzy linear fractional differential equations: (Dc1,1αy)(t)⊕b(t)⊗(Dc1,1βy)(t)⊕c(t)⊗y(t)=f(t), t∈(0,1), y(0)=y0 and y(1)=y1, where b,c∈C(I), b(t),c(t)≥0, y,f∈C(I,RF), I=[0,1], y0,y1∈RF and 1<β<α≤2. …”
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Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ-Hilfer Fractional Derivatives by Athasit Wongcharoen, Sotiris K. Ntouyas, Phollakrit Wongsantisuk, Jessada Tariboon

“…In this article, we discuss the existence and uniqueness of solutions for a new class of coupled system of sequential fractional differential equations involving ψ-Hilfer fractional derivatives, supplemented with multipoint boundary conditions. …”
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A Generalized Henry-Type Integral Inequality and Application to Dependence on Orders and Known Functions for a Fractional Differential Equation by Jun Zhou

“…We apply the result to give continuous dependence of solutions on initial data, derivative orders, and known functions for a fractional differential equation.…”
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Analysis of the non-linear higher dimensional fractional differential equations arising in dusty plasma using the Atangana–Baleanu fractional derivative by Attiya Nazneen, Rashid Nawaz, Laiq Zada, Nasir Ali, Mohamed Benghanem, Hijaz Ahmad

“…In the present work, a relatively new derivative namely the Atangana–Baleanu fractional derivative is extended to derive an approximate solution to the non-linear higher dimensional fractional differential equations such as the Fractional perturbed Zakharov–Kuznetsov equation. …”
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Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales by Yanning Wang, Jianwen Zhou, Yongkun Li

“…Then, as an application, we present a recent approach via variational methods and critical point theory to obtain the existence of solutions for a p-Laplacian conformable fractional differential equation boundary value problem on time scale T:  Tα(Tαup-2Tα(u))(t)=∇F(σ(t),u(σ(t))), Δ-a.e.  …”
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