[PDF] Top 20 Unique solution for a new system of fractional differential equations
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Unique solution for a new system of fractional differential equations
... In the existing literature, most of the scholars have studied the existence of solutions, but there is little discussion about the uniqueness. Moreover, the usual methods used are Guo–Krasnosel’skii’s fixed point theorem, ... See full document
19
Unique solutions for a new coupled system of fractional differential equations
... constants and D denotes the usual Riemann-Liouville fractional derivative. Based upon a fixed point theorem of increasing ϕ -(h, e)-concave operators, we establish the existence and uniqueness of solutions for the ... See full document
12
Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations
... Now we see Ulam-type stabilities for Problem (1) by using successive approximations. Theorem 1. Suppose that satisfies assumption (H1). For every f > 0, if \: → ℝ in # satisfies inequality (7), then there exists a ... See full document
10
On a sign-changing solution for some fractional differential equations
... differential equations have gained much importance and attention due to the fact that they have been proved to be valuable tools in the modeling of many phe- nomena in engineering and sciences such as physics, ... See full document
8
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
... The aim of this paper is to approximate the solution of system of fractional delay differential equ- ations. Our technique relies on the use of suitable spline functions of polynomial form. We ... See full document
9
Differential inequalities for a finite system of hybrid Caputo fractional differential equations
... Similarly, differential inequalities proved in Theorem ...for differential and integral equations. Hence, differential and integral inequalities have importance place in the theory of ... See full document
8
Numerical solution methods for fractional partial differential equations
... The finite difference method can be used to numerically approximate the second spa- tial derivative. This method has been used to develop both explicit numerical methods (Yuste & Acedo 2005, Shen & Liu 2005, Liu, ... See full document
464
A Meshless Method for Numerical Solution of Fractional Differential Equations
... (4.4) Therefore,the system of N equations with N unknowns is available. Then, we must solve this system to make distinct the unknown coefficients. Hence, we have used the Gauss elimination method ... See full document
8
A New Numerical Method to Solve Non Linear Fractional Differential Equations
... 6. J. Singh, D. Kumar and A. Kiliman, Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations, Abstract and Applied Analysis. ... See full document
6
Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations
... A new simplified analytical formula is given for solving the Cauchy problem for a homogeneous system of fractional order linear differential equations with constant coefficients ...a ... See full document
10
Online Full Text
... a new solution scheme for the initial value problem of fractional differential equations, which is solved by cuckoo search algorithm based on cubic spline ...the fractional ... See full document
12
On the existence of a mild solution for impulsive hybrid fractional differential equations
... of solution of impulsive fractional differential equations and the theory of fractional hybrid differential equations by Agarwal, Ahmad, Baleanu, Benchohra, Feˇckan, Nieto, Sun, Bai, ... See full document
14
Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... differential equations with fractional order as models in more and more fields of science and engineering makes it necessary to study the qualita- tive theory of such equations, and we hope that our ... See full document
11
A modified series solution method for fractional integro differential equations
... nonlinear system with a so called equivalent linear system and employ averaging which is in general not a good idea! Since linearization of a nonlinear problem may become grossly inadequate in some ... See full document
8
Some analytical properties of solutions of differential equations of noninteger order
... differential equations (see [4, 5, 11, ...the unique solution are very important for the nu- merical solution of differential equations (see [8] for fractional differential ... See full document
5
Approximate Solution of Fuzzy Fractional Differential Equations
... fuzzy differential certain and incompletely specified systems, ...equations. Differential equations which arise in real-word physical problems are often too com- plicated to solve ...act ... See full document
8
A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... to fractional type and obtain the operational matrix of fractional ...tional differential equations ...of fractional calculus. In section 3, we obtain fractional Chebyshev ... See full document
12
Local Solution of Delay Fractional Differential Equations
... a solution. In order to prove the uniqueness of this solution, we start with arguments similar to those of the proof of Theorem ...a unique fixed ... See full document
6
A generalization of the Mittag–Leffler function and solution of system of fractional differential equations
... Grünwald–Letnikov fractional integral and derivative, the Riemann–Liouville fractional integral and derivative, and the Caputo fractional derivative ... See full document
12
On new evolution of Ri’s result via w distances and the study on the solution for nonlinear integral equations and fractional differential equations
... The most well-known fixed point result in the metrical fixed point theory is Banach’s con- traction mapping principle. Since this principle requires only the structure of a complete metric space with contractive condition ... See full document
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