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Nonlinear Fractional Differential Equation

Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions

Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions

... a nonlinear fractional differential equation with nonlocal integral boundary ...Laray-Schauder nonlinear alternative to study the existence and uniqueness of solutions to the given ...

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Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

... Impulsive differential equations, which provide a natural description of observed evolu- tion processes, are regarded as important mathematical tools for a better understanding of several real world problems in the ...

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Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

... of fractional diffe- rential equations involving Riemann-Liouville differential operator ( 0 < < α 1 ) has been discussed by Lakshmikantham et ...for differential equations involving ...

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Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions

... h : (, ) → [, ∞) is continuous, and f : [, ] × [, ∞) → [, ∞) is also continuous. Motivated by the above-mentioned papers, the purpose of this article is to investigate the existence of positive solutions for the ...

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Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation

... the nonlinear term has to satisfy the monotone or other control ...the nonlinear fractional differential equation with non- monotone term can respond better to impersonal law, so it is very ...

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The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions

The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions

... of nonlinear fractional differential equations with integral boundary conditions are studied and employed to obtain some results on the existence of positive solutions by using fixed point theorem in ...

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Existence result for a nonlinear fractional differential equation with integral boundary conditions at resonance

Existence result for a nonlinear fractional differential equation with integral boundary conditions at resonance

... years, fractional differential equations have been studied exten- sively due to their significant applications in various sciences such as physics, mechan- ics, chemistry, phenomena arising in ...ear ...

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On a nonlinear fractional differential equation on partially ordered metric spaces

On a nonlinear fractional differential equation on partially ordered metric spaces

... above nonlinear fractional differential ...This nonlinear fractional differential equation has been solved for  < α ≤  and different boundary value conditions ...another ...

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Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

... the fractional-order models. Furthermore, fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes due to the ...

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Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator

Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p Laplacian Operator

... of fractional calculus itself as well as its applications, fractional differential equations have been constantly attracting attention of many scholars; see, for example, ...

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Generalized Mittag Leffler function method for solving Lorenz system

Generalized Mittag Leffler function method for solving Lorenz system

... of nonlinear fractional differential equation systems such as lorenz system of fractional oreder, and compared the results with the results of Homotopy perturbation method (HPM) and ...

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DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation

DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation

... and nonlinear fractional differential equation with Caputo fractional ...a nonlinear third order fractional partial differential ...

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Oscillation for a Class of Fractional Differential Equation

Oscillation for a Class of Fractional Differential Equation

... class fractional differential equation with Robin and Dirichlet boundary ...the differential inequality method, oscillation criteria for a class of nonlinear fractional ...

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Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method

Solving a Nonlinear Multi Order Fractional Differential Equation Using Legendre Pseudo Spectral Method

... Many phenomena in engineering physics, chemistry, and other sciences can be described very successfully by models that use mathematical tools of fractional calculus, i.e. the theory of derivatives and integrals of ...

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Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method

Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method

... using fractional-order differential equations ...STO equation and obtained an analytic and approximate solution for different types of differential ...trial equation method to ...

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Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method

Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G) Expansion Method

... the nonlinear partial differential equation of frac- tional order, in the sense of modified Riemann-Liouville ...the fractional complex transformation has been used to convert the ...

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A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation

A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation

... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ...

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Positive solutions for P Laplace problems with nonlinear time fractional differential equation

Positive solutions for P Laplace problems with nonlinear time fractional differential equation

... In this paper, we study the existence and multiplicity of positive solutions for semi-linear elliptic equations with a sign-changing weight function in weighted Sobolev spaces. By investigating the compact embedding ...

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Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations

Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations

... the nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method ...some nonlinear fractional equations as: nonlinear ...

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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

... they lead to more precise measures than those proposed by a local condition; then, it is greatly important to obtain specific solutions when a solution exists. For this reason, the aim of this paper is to study the ...

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