[PDF] Top 20 Method of upper lower solutions for nonlinear system of fractional differential equations and applications
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Method of upper lower solutions for nonlinear system of fractional differential equations and applications
... develop method of upper lower solutions and construct two monotone convergent sequences,which converge monotonically from above and below to maximal and minimal solutions ...this ... See full document
6
Positive Solutions for Multi-Order Nonlinear Fractional Systems
... positive solutions for a class of multi-order systems of fractional differential equations with nonlocal ...and upper and lower solutions ... See full document
5
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... partial differential equations have shown a variety of applications in almost every field of life, such as in electromagnetics, acoustics, electrochemistry, cosmology, biological and material science ... See full document
7
Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives
... Leray-Schauder nonlinear alternative (Lemma ...all solutions to equations u = λ Hu for λ ∈ [, ...the method of computations in proving that H is bounded, we can ... See full document
16
Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
... of fractional calculus and related applications such as solvability, existence and multiplicity of positive solutions for given boundary value problems of fractional differential ... See full document
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Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions
... for fractional differential ...for solutions to such equations is based on the fixed point ...for nonlinear fractional differential equations; for example, see [5]- ... See full document
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Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders
... positive solutions for singular and nonsingular boundary value problems, and also they gave uniqueness of solution for singular problem by means of Leray-Schauder nonlinear alternative, a fixed point ... See full document
13
Existence of solutions for nonlinear singular fractional differential equations with fractional derivative condition
... of solutions for boundary value problem of fractional differential equations with nonlocal boundary conditions by the use of techniques of nonlinear analysis (fixed point theorems, ... See full document
12
Numerical Study of Fractional Differential Equations of Lane Emden Type by Method of Collocation
... of fractional differential equations of various types plays important roles and tools not only in ma- thematics but also in physics, control systems, dynamical systems and engineering to create the ... See full document
6
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
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Applications of He’s Variational Principle method and the Kudryashov method to nonlinear time-fractional differential equations
... KdV system. The HirotaSatsuma system of equations was introduced to describe the in- teraction of two long waves with different dispersion ...a system of nonlin- ear partial ... See full document
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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
Initial value problems for fractional differential equations involving Riemann-Liouville derivative
... of fractional derivatives become apparent in modeling mechanical and electrical properties of real materials, and in many other fields, like theory of ...studying fractional differential ... See full document
9
The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p Laplacian
... new method of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian ...positive solutions for the ... See full document
15
Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... specific solutions when a solution ...of solutions for problem () by using the monotone iterative technique based on the method of upper and lower solutions, to obtain the ... See full document
9
A Neural Network Approach for Solving Fractional-Order Model of HIV Infection of CD4+T-Cells
... approximate solutions of nonlinear ordinary differential equations system of fractional order such as human T-cell lymphotropic virus HIV infection of ...ordinary ... See full document
5
On positive solutions for a class of singular nonlinear fractional differential equations
... from fractional calculus theory. For more details about fractional calculus, we refer the readers to [, , ...Riemann-Liouville fractional derivative of order α > of a continuous function ϕ : ... See full document
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Existence of solutions for the delayed nonlinear fractional functional differential equations with three point integral boundary value conditions
... The rest of this paper is organized as follows. In Section , we recall some useful defini- tions and properties, and present the properties of the Green’s function. In Section , we give some sufficient conditions for the ... See full document
18
Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations
... Fractional differential equations have been of great interest ...of fractional calculus itself and by the applications of such constructions in various sciences such as physics, ... See full document
8
Integral inequalities with ‘maxima’ and their applications to Hadamard type fractional differential equations
... Recently in [] some new types of integral inequalities on time scales with ‘maxima’ have been established, which can be used as a handy tool in the investigation of making estimates for bounds of solutions of ... See full document
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