[PDF] Top 20 The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
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The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
... obtaining solutions of singular fractional differ- ential via boundary value ...the existence of solutions for a singular nonlinear fractional boundary value ... See full document
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Uniqueness and existence of positive solutions for a multi point boundary value problem of singular fractional differential equations
... differential equations have gained considerable importance due to their appli- cation in various sciences, such as physics, mechanics, chemistry, engineering, ...differential equations involving ... See full document
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On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques
... of nonlinear fractional differential equations have been studied extensively in recent years (see, for instance, [–] and the references ...the existence and multiplicity for solutions ... See full document
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Existence of positive solutions of singular fractional differential equations with infinite point boundary conditions
... For the convenience of the readers, we first present some useful definitions and fundamen- tal facts of fractional calculus theory. In order to avoid redundancy, for the definitions of the Riemann-Liouville ... See full document
9
Existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions
... Proof From the proof of Theorem ., we see that (.) has a positive solution u(t) with r ≤ u ≤ R, and by Theorem ., we see that (.) has another positive solution u(t) with < u < r. Thus (.) has at least ... See full document
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Existence of solutions for nonlinear singular fractional differential equations with fractional derivative condition
... the existence and unique- ness of solutions for boundary value problem of fractional differential equations with nonlocal boundary conditions by the use of techniques of nonlinear ... 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
... 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 ... See full document
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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, mechanics, ... See full document
8
Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
... an existence theorem for the boundary value problem of the above fractional differential equation is proved under both Lipschitz and Carathéodory ... See full document
10
Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... From the continuity of f we easily see that F : D → AC(I) is a continuous operator that maps bounded sets into bounded sets. By Lemma we know that the composite mapping S ◦ F : D → AC n– (I) is a completely continuous ... See full document
9
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
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Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... The rest of the paper is organized as follows. In Section , we present some preliminaries and lemmas that are used to prove our main results. We also develop some properties of the Green function. In Section , we ... See full document
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Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
... Therefore, applying Lemma ., the results ()-() in Theorem . are tenable. Remark . Comparing Theorem ., Theorem . and Theorem . with the main re- sults in [], we provide some alternative approaches to the ... 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
Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions
... the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are ... See full document
11
Existence and stability of the solutions for systems of nonlinear fractional differential equations with deviating arguments
... in fractional differential equa- ...of fractional cal- culus (see [–]). Furthermore, fractional differential equations with delays have proven more realistic in the description of natural ... See full document
10
Existence solutions for boundary value problem of nonlinear fractional q difference equations
... Remark . In Theorem ., we presented an existence result for weak solutions of the problem (.) in the case where the Banach space E is reflexive. However, in the nonre- flexive case, conditions ... See full document
12
Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three point boundary conditions
... of nonlinear multiple base points impulsive fractional differential equations involving the three-point boundary ...the existence of a solution is established by using fixed point ... See full document
14
Existence and uniqueness of solutions for multi term nonlinear fractional integro differential equations
... Fractional nonlinear differential equations, fractional integro-differential equations and their applications represent a topic of high interest in the area of fractional calculus ... See full document
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Existence of Solutions to Anti Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses
... of fractional integral and derivative and preliminary results which will be used in this ...the existence results for problem ...the nonlinear alternative of Leray-Schauder ... See full document
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