# Haut PDF Study of the existence, uniqueness and stability of certain fractional differential equations

### Study of the existence, uniqueness and stability of certain fractional differential equations

**Fractional**di¤erential

**equations**is a generalization

**of**ordinary di¤erential

**equations**

**and**integration to arbitrary non-integer ...orders.

**The**origin

**of**...

70

### Solvability for a nonlinear coupled system of n fractional differential equations

**of**Mostaganem LPAM, Faculty SEI, UMAB University

**of**Mostaganem, Algeria Abstract In this paper, we

**study**a nonlinear coupled system

**of**n−

**fractional**dif- ferential ...

11

### The hight order Lane-Emden fractional differential system: Existence, uniqueness and Ulam type stabilities

**and**E. Celik,

**The**numerical method for solving

**differential**

**equations**

**of**Lane-Emden type by pade approximation, Discrete ...Ehigie

**and**S. A. Sofoluwe, Treatment ...

22

### Weak existence and uniqueness for affine stochastic Volterra equations with L1-kernels

**the**present paper, we provide a generic treatment

**of**

**the**limiting macroscopic equa- tion ( ...)

**and**we allow for (infinite activity) jumps in ...0

**and**ν = δ 1 .

**The**strategy ...

39

### Lp-stability analysis of a class of nonlinear fractional differential equations

**The**

**study**

**of**

**stability**for this kind

**of**systems focuses a great interest in

**the**research ...domain

**the**works

**of**Matignon [13]

**and**Bonnet

**and**...

5

### Study of the controllability of differential equations under impulsive conditions

**Existence**

**and**

**Uniqueness**Results for Impulsive Evolution

**Equations**

**The**problem

**of**

**existence**

**and**

**uniqueness**

**of**

**the**solution

**of**...

156

### High dimensional fractional coupled systems: New existence and uniqueness results

**FRACTIONAL**COUPLED SYSTEMS: NEW

**EXISTENCE**

**AND**

**UNIQUENESS**RESULTS LOUIZA TABHARIT 1

**AND**ZOUBIR DAHMANI 2 ...we

**study**a class

**of**high dimensional coupled ...

13

### Differential Equations Via Hadamard Approach: Some Existence/Uniqueness Results.

**and**some auxiliairy results that will be used in

**the**...by

**the**following definition: Definition 2.1 [13]

**The**Hadamard

**fractional**integral

**of**order α > 0

**of**...

13

### Coupled systems of fractional integro-differential equations involving several functions

**the**

**existence**

**of**solutions for a coupled system

**of**nonlinear

**fractional**integro-

**differential**

**equations**involving Riemann-Liouville integrals with several ...

9

### Fractional order differential equations involving Caputo derivative

**the**Banach contraction principle

**and**Schaefer theorem are applied to establish new results for

**the**

**existence**

**and**

**uniqueness**

**of**solutions for some Caputo ...

16

### A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING TWO FRACTIONAL ORDERS

**differential**equation,

**existence**, ...In

**the**last few decades, there has been an explosion

**of**research activities on

**the**application

**of**

**fractional**calculus to very ...

19

### New existence and uniqueness results for fractional differential equations

**study**a class

**of**boundary value problems

**of**nonlin- ear

**fractional**

**differential**

**equations**with integral boundary ...new

**existence**

**and**

**uniqueness**results ...

10

### On the existence and stability of solutions for certain functional differential and delay integro-differential equations by the fixed point technique

**and**for all z with |z| < r, we have |f (t, z)| ≤ h r ...theorems

**The**fixed point theorem, generally known as

**the**Banach contraction principle, appeared in explicit form in Banach’s thesis in ...

70

### New existence and uniqueness results for high dimensional fractional differential systems

**and**Preliminaries

**The**physical laws

**of**dynamics are not always described by ordinary order dif- ferential ...by

**fractional**or- der diﬀerential ...refer

**the**reader to ...

13

### Existence, periodicity, positivity and stability of solutions by Krasnoselskii's fixed point in neutral nonlinear functional differential equations

**the**delay is unbounded or if

**the**di¤erential equation in question has unbounded terms, (see [31], [32], [38], [64], ...tried

**stability**by using a new ...Zhang

**and**others began a ...

91

### A study of the dynamic of influence through differential equations

**of**influence originally introduced in Hoede

**and**Bakker (1982)

**and**later refined in our several ...In

**the**original one-step model, agents have to make their acceptance-rejection ...

23

### On the existence of almost periodic solutions for a class of neutral delay differential equations

**The**idea is to find critical points

**of**

**the**functional J defined as ...obtain

**the**

**existence**

**of**a minimizer on a subset

**of**almost periodic functions taking their values ...

15

### Growth of solutions of certain non-homogeneous linear differential equations with entire coefficients

**differential**

**equations**.

**The**main purposes

**of**this paper are to investigate

**the**hyper-exponent

**of**convergence

**of**distinct zeros

**and**

**the**...

21

### Some properties of solutions of certain complex linear differential equations with meromorphic doefficients

**of**Theorem A. Let d 0 , d 1 , d 2 be complex constants that are not all equal to zero.If f (z) 6≡ 0 is any meromorphic solution

**of**equation (1.2), then: (i) f, f 0 , f 00 all have infinitely many fixed ...

12

### Growth of certain combinations of entire solutions of higher order linear differential equations

**and**Benharrat Bela¨ıdi Abstract.

**The**main purpose

**of**this paper is to

**study**

**the**growth

**of**

**certain**combinations

**of**entire solutions

**of**higher order ...

9