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[PDF] Top 20 Employing of Some Basic Theory for Class of Fractional Differential Equations

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Employing of Some Basic Theory for Class of Fractional Differential Equations

Employing of Some Basic Theory for Class of Fractional Differential Equations

... Basic theory on a class of initial value problem of some fractional differential equation involving Riemann-Liouville differential operators is discussed by employing the classical ... See full document

13

Existence and uniqueness for a class of iterative fractional differential equations

Existence and uniqueness for a class of iterative fractional differential equations

... uniqueness theory is studied widely in fractional differential ...a class of integro-differential equations of high fractional order ...presented some existence and uniqueness ... See full document

13

Basic theory of initial value problems of conformable fractional differential equations

Basic theory of initial value problems of conformable fractional differential equations

... of fractional derivatives in the literature, each depending on a given set of assumptions, the most popular of which are the Riemann–Liouville and Caputo fractional ...a fractional derivative, called ... See full document

14

Impulsive initial value problems for a class of implicit fractional differential equations

Impulsive initial value problems for a class of implicit fractional differential equations

... The theory of fractional calculus has received remarkable consideration from the researchers of widespread fields of science and engineering due its applicability of de- scribing the hereditary and memory ... See full document

14

Multiplicity results for a class of fractional differential equations with impulse

Multiplicity results for a class of fractional differential equations with impulse

... differential equations (FDEs for short) have been recently proved to be strong tools in the modeling of many phenomena in various areas of science as physics, biology, geology, polymer rheology, control ... See full document

9

Positive solutions for a class of fractional differential equations at resonance

Positive solutions for a class of fractional differential equations at resonance

... The rest of this paper is organized as follows. Section  contains some necessary no- tations, definitions and lemmas. In Section , we establish a theorem on the existence of positive solutions for FBVP (.) ... See full document

11

Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations

Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations

... In this article, we study the existence result for a boundary value problem (BVP) of hybrid fractional sequential integro-differential equations. A fixed point theorem provided by Dhage in (Nonlinear Anal. ... See full document

12

On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations

On Type of Periodicity and Ergodicity to a Class of Fractional Order Differential Equations

... 72 D. Bugajewski and G. M. N’Gu´er´ekata, “On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces,” Nonlinear ... See full document

25

Oscillation criteria for a class of fractional delay differential equations

Oscillation criteria for a class of fractional delay differential equations

... [1–3]. Fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and ...model some neglected effects with classical integer-order ... See full document

11

A class of Hilfer fractional stochastic differential equations and optimal controls

A class of Hilfer fractional stochastic differential equations and optimal controls

... a class of Hilfer fractional stochastic differential equations with nonlocal ...these equations by means of stochastic analysis theory, fractional calculations, and operator ... See full document

17

Weighted  Asymptotically  Periodic Solutions of a Class of Fractional Differential Equations

Weighted Asymptotically Periodic Solutions of a Class of Fractional Differential Equations

... the theory of functional differential equations, fractional differential equations, integral equations and partial differential ... See full document

13

Existence and uniqueness of solution for a class of nonlinear fractional differential equations

Existence and uniqueness of solution for a class of nonlinear fractional differential equations

... The fractional derivative (or called the noninteger order derivative) was invented by Leib- nitz and L’Hospital around the seventeenth century and the related calculus was developed in about  years later ...of ... See full document

11

Comparison principle and stability for a class of stochastic fractional differential equations

Comparison principle and stability for a class of stochastic fractional differential equations

... a class of stochastic fractional differential ...stability theory, we first establish a novel comparison principle for stochastic fractional differential equations, and then obtain ... See full document

11

On positive solutions for a class of singular nonlinear fractional differential equations

On positive solutions for a class of singular nonlinear fractional differential equations

... decades, fractional-order models are found to be more adequate than integer-order models for some real world ...been some papers dealing with the existence and multiplicity of solutions (or positive ... See full document

11

Optimal Control of a Class of Parabolic Partial Fractional Differential Equations

Optimal Control of a Class of Parabolic Partial Fractional Differential Equations

... partial fractional differential equation is studied and the solution bound estimate which are used to prove the existence of the solution of the optimal control problem in a Banach space is also studied, ... See full document

5

Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

Basic Theory for Differential Equations with Unified Reimann-Liouville and Hadamard Type Fractional Derivatives

... This fractional integral has also been extended to fractional derivative in [6], which holds “nicely” for α with Re(α) ∈ (0, 1) (see [6, § ...of fractional order derivatives given in [6], we will ... See full document

15

Differential inequalities and comparison theorems for first order hybrid integro-differential equations

Differential inequalities and comparison theorems for first order hybrid integro-differential equations

... integro-differential equations lies in the fact that they include several classes of differential and integral equations as special ...hybrid differential equations is implicit ... See full document

20

A FIXED POINT PROBLEM VIA SIMULATION FUNCTIONS IN INCOMPLETE METRIC SPACES WITH ITS APPLICATION

A FIXED POINT PROBLEM VIA SIMULATION FUNCTIONS IN INCOMPLETE METRIC SPACES WITH ITS APPLICATION

... Finally, applying Corollary 3.2, T and B have a unique solution in X which is a unique solution of system of fractional hybrid differential equations (16). Remark 5.1. By Corollary 3.2 in [10] we can ... See full document

12

On Some Fractional-Integro Partial Differential Equations

On Some Fractional-Integro Partial Differential Equations

... This paper is organized as follows. Section 2 presents some preliminaries on fractional calculus. In section 3 we formulate the fractional partial differential equation which governing the ... See full document

8

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

Boundary Value Problems of Nonlinear Variable Coefficient Fractional Differential Equations

... the theory of fractional differential equations has become an important area of study, see [1, 2, 3, ...of fractional differential equations have applications in various ... See full document

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