Caputo Fractional Derivative; Impulses; Nonlocal Conditions; Existence; Uniqueness; Fixed Point - Articles

Generalization of Uniqueness of Meromorphic Functions Sharing Fixed Point (Articles)

Harina P. Waghamore, Sangeetha Anand

Applied Mathematics Vol.7 No.9，May 27, 2016

DOI: 10.4236/am.2016.79084 1,989 Downloads 3,107 Views Citations
This article belongs to the Special Issue on Complex Analysis
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method (Articles)

Yin Yang

Applied Mathematics Vol.4 No.1，January 28, 2013

DOI: 10.4236/am.2013.41020 8,213 Downloads 12,860 Views Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials (Articles)

Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

Applied Mathematics Vol.6 No.4，April 10, 2015

DOI: 10.4236/am.2015.64058 4,281 Downloads 5,730 Views Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs (Articles)

Mohamed Adel, Mohamed M. Khader

Applied Mathematics Vol.8 No.12，December 14, 2017

DOI: 10.4236/am.2017.812126 925 Downloads 2,097 Views Citations
Local Discontinuous Galerkin Method for the Time-Fractional KdV Equation with the Caputo-Fabrizio Fractional Derivative (Articles)

Huanhuan Wang, Xiaoyan Xu, Junmei Dou, Ting Zhang, Leilei Wei

Journal of Applied Mathematics and Physics Vol.10 No.6，June 24, 2022

DOI: 10.4236/jamp.2022.106132 221 Downloads 901 Views Citations
A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations (Articles)

Xiaoxue Lu, Chunhua Zhang, Huiling Xue, Bowen Zhong

Journal of Applied Mathematics and Physics Vol.12 No.9，September 10, 2024

DOI: 10.4236/jamp.2024.129183 59 Downloads 281 Views Citations
An Arbitrary (Fractional) Orders Differential Equation with Internal Nonlocal and Integral Conditions (Articles)

Ahmed El-Sayed, E. Bin-Taher

Advances in Pure Mathematics Vol.1 No.3，June 3, 2011

DOI: 10.4236/apm.2011.13013 5,751 Downloads 11,921 Views Citations
Reconstruct the Heat Conduction Model with Memory Dependent Derivative (Articles)

Wenwen Sun, Jinliang Wang

Applied Mathematics Vol.9 No.9，September 27, 2018

DOI: 10.4236/am.2018.99072 1,043 Downloads 2,109 Views Citations
Countably Many Positive Solutions for Nonlinear Singular n-Point Boundary Value Problems (Articles)

Zhenguo Li, Youlin Shang

Applied Mathematics Vol.5 No.15，August 11, 2014

DOI: 10.4236/am.2014.515220 2,955 Downloads 3,820 Views Citations
Existence of Solutions of a Convolution Integral Equation (Articles)

Henry Otoo, Benjamin Dadzie Mensah, Lewis Brew

Journal of Applied Mathematics and Physics Vol.12 No.5，May 30, 2024

DOI: 10.4236/jamp.2024.125114 99 Downloads 367 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1，January 21, 2025

DOI: 10.4236/eng.2025.171004 41 Downloads 211 Views Citations
Fractional-Order Financial System Using Efficient Numerical Methods (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

American Journal of Computational Mathematics Vol.15 No.1，March 31, 2025

DOI: 10.4236/ajcm.2025.151004 30 Downloads 173 Views Citations
Nonlocal Models of Cosmic Ray Transport in the Galaxy (Articles)

Vladimir V. Uchaikin

Journal of Applied Mathematics and Physics Vol.3 No.2，January 30, 2015

DOI: 10.4236/jamp.2015.32029 3,201 Downloads 4,061 Views Citations
RETRACTED: Optimal Control of an Elliptic System under Conjugation Conditions Involving Schrödinger Operator (Articles)

Ahmed Mohammed Abdallah

Open Journal of Optimization Vol.3 No.1，March 28, 2014

DOI: 10.4236/ojop.2014.31001 3,814 Downloads 6,951 Views Citations
Existence and Uniqueness Results for a Fully Third-Order Boundary Value Problem (Articles)

Xiaoming Liu, Yongxiang Li

Advances in Pure Mathematics Vol.13 No.8，August 14, 2023

DOI: 10.4236/apm.2023.138033 208 Downloads 742 Views Citations
Approximate Controllability of Fractional Order Retarded Semilinear Control Systems (Articles)

Simegne Tafesse, Nagarajan Sukavanam

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.3，August 19, 2013

DOI: 10.4236/ijmnta.2013.23020 3,512 Downloads 6,800 Views Citations
Analytical Solution of Nonlinear System of Fractional Differential Equations (Articles)

Eman Ali Ahmed Ziada

Journal of Applied Mathematics and Physics Vol.9 No.10，October 28, 2021

DOI: 10.4236/jamp.2021.910164 449 Downloads 1,745 Views Citations
This article belongs to the Special Issue on Nonlinear Differential Equations
Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces (Articles)

Ahmed Gamal Ibrahim, Nawal Abdulwahab Al Sarori

Applied Mathematics Vol.4 No.7A，July 9, 2013

DOI: 10.4236/am.2013.47A008 4,948 Downloads 7,992 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional q-Difference Equation (Articles)

Liu Yang

Applied Mathematics Vol.4 No.10，October 14, 2013

DOI: 10.4236/am.2013.410195 6,245 Downloads 14,173 Views Citations
Existence and Multiple of Positive Solution for Nonlinear Fractional Difference Equations with Parameter (Articles)

Youji Xu

Journal of Applied Mathematics and Physics Vol.3 No.7，June 30, 2015

DOI: 10.4236/jamp.2015.37091 3,909 Downloads 4,775 Views Citations

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