Nonlinear fractional differential equations
Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations
... of nonlinear fractional differential equations by the use of techniques of non- linear analysis, see [7-22] and the reference ...of nonlinear fractional differential ...
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Interval Oscillation Criteria for a Class of Nonlinear Fractional Differential Equations with Nonlinear Damping Term
... of nonlinear fractional differential equations with nonlinear damping ...certain fractional differential equations can be turned into an- other ordinary ...
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Forced oscillation of nonlinear fractional differential equations with damping term
... of fractional calculus (that is, calculus of integrals and derivatives of any ar- bitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to ...
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Solvability of boundary value problems of nonlinear fractional differential equations
... The operator T : C[, ] → C[, ] is continuous in view of continuity of G(t, s) and g(t, u(t)). By means of the Arzela-Ascoli theorem, T is a compact operator. Therefore, from the Leray-Schauder fixed point theorem, the ...
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Boundary value problem for nonlinear fractional differential equations with delay
... for fractional differential equations have gained these days interest of many ...differential equations, ...of fractional ordinary differential equations [–] and initial value problems ...
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Nonlinear fractional differential equations with nonlocal integral boundary conditions
... This paper concerns the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. By ...
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Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... differential equations with fractional order as models in more and more fields of science and engineering makes it necessary to study the qualita- tive theory of such equations, and we hope that our ...
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Initial value problem for nonlinear fractional differential equations with sequential fractional derivative
... sequential fractional differential equations with initial value condi- tions on [, + ∞ ...differential equations with p-Laplacian follow as a special case of our ...
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Attractivity for a k dimensional system of fractional functional differential equations and global attractivity for a k dimensional system of nonlinear fractional differential equations
... of fractional dif- ferential equations which has played an important role in different areas of science (see for example, [–] and the references ...of fractional differential equations in ...
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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 : ...
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An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces
... for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...for fractional functional di ff erential equations with infinite delay in Fr´echet spaces,” ...
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Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus
... developed fractional calculus for vector-valued functions us- ing the weak Riemann integral and they established the existence of weak solutions for a class of fractional differential equations with ...
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Nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions
... Note that the operator F : U → C([, ], R) is continuous and completely continuous. From the choice of U, there is no x ∈ ∂U such that x = λ F(x) for some λ ∈ (, ). Con- sequently, by the nonlinear alternative ...
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The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... for nonlinear Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo ...
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Some results for a four-point boundary value problems for coupled system involving Caputo derivative
... for fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the references ...of fractional order is also important as ...
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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 using Banach fixed point ...
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Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems
... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...the nonlinear fractional differential ...
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Existence of solutions for the delayed nonlinear fractional functional differential equations with three point integral boundary value conditions
... To the best of our knowledge, it seems that no one considered BVP (.)-(.). There- fore, we will investigate the existence and uniqueness of solutions of the nonlinear BVP (.)-(.) under some further ...
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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently appears in various fields such as physics, ...
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On new evolution of Ri’s result via w distances and the study on the solution for nonlinear integral equations and fractional differential equations
... The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of ...
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