# [PDF] Top 20 Study of the existence, uniqueness and stability of certain fractional differential equations

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

... Introduction **Fractional** di¤erential **equations** is a generalization **of** ordinary di¤erential **equations** **and** integration to arbitrary non-integer ...orders. **The** origin **of** ... Voir le document complet

70

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

... University **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 ... Voir le document complet

11

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

... Tabatabaei **and** E. Celik, **The** numerical method for solving **differential** **equations** **of** Lane-Emden type by pade approximation, Discrete ...Ehigie **and** S. A. Sofoluwe, Treatment ... Voir le document complet

22

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

... In **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 ... Voir le document complet

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### 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** ... Voir le document complet

5

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

... 2 **Existence** **and** **Uniqueness** Results for Impulsive Evolution **Equations** **The** problem **of** **existence** **and** **uniqueness** **of** **the** solution **of** ... Voir le document complet

156

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

... DIMENSIONAL **FRACTIONAL** COUPLED SYSTEMS: NEW **EXISTENCE** **AND** **UNIQUENESS** RESULTS LOUIZA TABHARIT 1 **AND** ZOUBIR DAHMANI 2 ...we **study** a class **of** high dimensional coupled ... Voir le document complet

13

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

... definitions **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** ... Voir le document complet

13

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

... studies **the** **existence** **of** solutions for a coupled system **of** nonlinear **fractional** integro-**differential** **equations** involving Riemann-Liouville integrals with several ... Voir le document complet

9

### Fractional order differential equations involving Caputo derivative

... paper, **the** Banach contraction principle **and** Schaefer theorem are applied to establish new results for **the** **existence** **and** **uniqueness** **of** solutions for some Caputo ... Voir le document complet

16

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

... point, **differential** equation, **existence**, ...In **the** last few decades, there has been an explosion **of** research activities on **the** application **of** **fractional** calculus to very ... Voir le document complet

19

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

... we **study** a class **of** boundary value problems **of** nonlin- ear **fractional** **differential** **equations** with integral boundary ...new **existence** **and** **uniqueness** results ... Voir le document complet

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 ... Voir le document complet

70

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

... Introduction **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 ... Voir le document complet

13

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

... if **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 ... Voir le document complet

91

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

... framework **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 ... Voir le document complet

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 ... Voir le document complet

15

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

... http://jipam.vu.edu.au **differential** **equations**. **The** main purposes **of** this paper are to investigate **the** hyper-exponent **of** convergence **of** distinct zeros **and** **the** ... Voir le document complet

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 ... Voir le document complet

12

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

... Latreuch **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 ... Voir le document complet

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