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[PDF] Top 20 Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

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Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

... The article is organized as follows. In Sect. 2, we shall give some definitions and lem- mas to prove our main results. In Sect. 3, we establish existence results of at least one or two positive solutions ... See full document

13

Existence and Uniqueness of Positive Solutions for a  Coupled System of Nonlinear Fractional  Differential Equations

Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations

... Fractional differential equations can describe many phe- nomena in various fields of engineering and scientific disciplines such as control theory, physics, chemistry, biology, economics, mechanics ... See full document

9

Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions

Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions

... of positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary ... See full document

18

Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions

Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions

... Recently, coupled systems of fractional differential equations with a variety of boundary value conditions have been studied by many people; see [–] and the references ...known, coupled ... See full document

12

Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations

Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations

... of positive solutions for single and system of boundary value prob- lems of nonlinear fractional order differential equations corresponding to different boundary conditions are ... See full document

12

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

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

... at t = ), for all t ∈ (, ], f (t, ·, ·) is nondecreasing with respect to the first component, and it is decreasing with respect to the second component. Our approach is based on a recent coupled fixed point ... See full document

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Existence of  solutions of a coupled system of functional integro-differential equations of arbitrary (fractional) orders

Existence of solutions of a coupled system of functional integro-differential equations of arbitrary (fractional) orders

... Theorem 3.6. Let the assumptions of Theorem 3.4 be satisfied, then there exist at last one solution (x,y), x, y ∈ AC[0,T ] of the initial value problem of the coupled system of functional ... See full document

7

Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half line

Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half line

... of fractional differential equations has gained a considerable attention and it has emerged as an interesting and popular field of ...of fractional calculus are found to be more practical and ef- ... See full document

19

The existence of solutions for a nonlinear mixed problem of singular fractional differential equations

The existence of solutions for a nonlinear mixed problem of singular fractional differential equations

... differential equations (see, for example, [–] and references therein) started to play an important role in several branches of science and ...of solutions for the nonlinear mixed problems of ... See full document

12

Positive solutions for a class of nonlinear Hadamard fractional differential equations with a parameter

Positive solutions for a class of nonlinear Hadamard fractional differential equations with a parameter

... differential equations have given rise to abroad attention of many researchers by the intensive development of the theory of fractional calculus ...hand, fractional differential equations can ... See full document

13

Unique solutions for a new coupled system of fractional differential equations

Unique solutions for a new coupled system of fractional differential equations

... We will consider system (1.1) under the case a > 0, b > 0. When a = b = 0, we can study problem (1.1) by using the usual methods and give some results about the existence and uniqueness of positive ... See full document

12

Existence of solutions for a coupled system of fractional differential equations at resonance

Existence of solutions for a coupled system of fractional differential equations at resonance

... 4. Diethelm, K, Freed, AD: On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity. In: Keil, F, Mackens, W, Voss, H, Werther, J (eds.) Scientific ... See full document

13

New existence results for a coupled system of nonlinear differential equations of arbitrary order

New existence results for a coupled system of nonlinear differential equations of arbitrary order

... This paper studies the existence of solutions for a coupled system of nonlinear fractional differential equations. New existence and uniqueness results are established ... See full document

11

Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations

Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations

... of fractional derivatives, such as Riemann-Liouville fractional derivative, Marchaud fractional derivative, Caputo’s derivative, Griinwald-Letnikov fractional derivative, ...decades, ... See full document

15

Positive solutions for Caputo fractional differential system with coupled boundary conditions

Positive solutions for Caputo fractional differential system with coupled boundary conditions

... context, fractional differential equations involving different bound- ary value conditions have aroused the interest of many scholars, see references [1–21] to name a ...following nonlinear ... See full document

12

Positive solutions for higher order singular fractional differential system with coupled integral boundary conditions

Positive solutions for higher order singular fractional differential system with coupled integral boundary conditions

... The fractional order differential equations has been gaining much attention due to their various applications in science and engineering such as fluid dynamics, heat conduction, control theory, ... See full document

12

2. Existence of solution to a coupled  system of hybrid fractional differential equations

2. Existence of solution to a coupled system of hybrid fractional differential equations

... order differential equations are available in various disciplines of sci- ence and technology, we refer to [4, 6, 15, 19, 22, 25] for some of the ...These equations have solutions under ... See full document

10

Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters

... a nonlinear coupled fractional differential system with parameters, the existence of PSs is considered in ...for nonlinear impulsive FDEs are presented in ...impulsive fractional ... See full document

13

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

... a coupled system of nonlinear fractional differen- tial equations (FDEs), such that both equations have a particular perturbed ...of positive solutions for this ... See full document

16

Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

... of solutions for a nonlinear system of coupled fractional differential equations equipped with nonlocal coupled integro-multistrip-multipoint boundary ... See full document

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