Results on non local impulsive implicit Caputo-Hadamard fractional differential equations by K. Venkatachalam, M. Sathish Kumar, P. Jayakumar

Subjects: “…fractional differential equation…”
Get full text

The Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for CFR Fractional Differential Equations by Xia Wang, Run Xu

“…In this paper, we research CFR fractional differential equations with the derivative of order 3<α<4. …”
Get full text

An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative by H. R. Marasi, A. Soltani Joujehi, H. Aydi

“…In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative. …”
Get full text

Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations by G. H. Erjaee, M. Alnasr

“…We illustrate numerical phase synchronization results and stability analysis for some coupled Sprott chaotic systems presented by fractional differential equations.…”
Get full text

Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations by Haidong Qu, Xiaopeng Yang, Zihang She

Get full text

Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions by J. Caballero, I. Cabrera, K. Sadarangani

“…We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. …”
Get full text

The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions by Dongxia Zan, Run Xu

“…In this paper, we investigated the system of fractional differential equations with integral boundary conditions. …”
Get full text

Iterative methods for solving fractional differential equations using non-polynomial splines by Faraidun K. Hamasalh, Gulnar W. Sadiq, Emad S. Salam

Subjects: “…fractional differential equation…”
Get full text

Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation by Chaozhu Hu, Bin Liu, Songfa Xie

Get full text

Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations by Farah Suraya Md Nasrudin, Chang Phang

“…Hence, we transform the Prabhakar fractional differential equations into a system of algebraic equations. …”
Get full text

Fractional Differential Equations in Terms of Comparison Results and Lyapunov Stability with Initial Time Difference by Coşkun Yakar

Get full text

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative by Leila Sajedi, Nasrin Eghbali, Hassen Aydi

“…In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. …”
Get full text

Some Existence Results for Impulsive Nonlinear Fractional Differential Equations with Closed Boundary Conditions by Hilmi Ergören, Adem Kiliçman

“…We investigate some existence results for the solutions to impulsive fractional differential equations having closed boundary conditions. …”
Get full text

Existence of Solutions for Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions by Jingli Xie, Lijing Duan

“…In this paper, we investigate a class of integral boundary value problems of fractional differential equations with a p-Laplacian operator. …”
Get full text

Multiplicity Results to a Conformable Fractional Differential Equations Involving Integral Boundary Condition by Shuman Meng, Yujun Cui

Get full text

Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance by Lei Hu

Get full text

Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities by Youzheng Ding, Jiqiang Jiang, Donal O’Regan, Jiafa Xu

“…In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.…”
Get full text

Existence and Stability for a Nonlinear Coupled p-Laplacian System of Fractional Differential Equations by Merfat Basha, Binxiang Dai, Wadhah Al-Sadi

Get full text

Exponential Stability for an Opinion Formation Model with a Leader Associated with Fractional Differential Equations by Dussadee Somjaiwang, Parinya Sa Ngiamsunthorn

“…This paper studies the dynamics of an opinion formation model with a leader associated with a system of fractional differential equations. We applied the concept of α-exponential stability and the uniqueness of equilibrium to show the consensus of the followers with the leader. …”
Get full text

Multiplicity of Positive Solutions for Fractional Differential Equation with p-Laplacian Boundary Value Problems by Sabbavarapu Nageswara Rao

“…We investigate the existence of multiple positive solutions of fractional differential equations with p-Laplacian operator Da+β(ϕp(Da+αu(t)))=f(t,u(t)),  a<t<b, uja=0,  j=0,1,2,…,n-2, u(α1)(b)=ξu(α1)(η), ϕp(Da+αu(a))=0=Da+β1(ϕp(Da+αu(b))), where β∈(1,2], α∈(n-1,n],  n≥3, ξ∈(0,∞), η∈(a,b), β1∈(0,1], α1∈{1,2,…,α-2} is a fixed integer, and ϕp(s)=|s|p-2s,  p>1,  ϕp-1=ϕq,  (1/p)+(1/q)=1, by applying Leggett–Williams fixed point theorems and fixed point index theory.…”
Get full text