Fractional Boundary Value Problem
On the fundamental solutions of a discontinuous fractional boundary value problem
... Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two ...main problem coincide with the ...
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Existence of positive solutions for a discrete fractional boundary value problem
... of fractional differential equations has been a new important math- ematical branch due to its wide applications in different research areas and engineering, such as physics, chemistry, economics, control of ...
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Integro differential fractional boundary value problem on an unbounded domain
... nonlocal boundary value problems of fractional differential equa- tions on finite/infinite interval have been extensively investigated; see, for instance, [– ...differential fractional ...
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Unbounded solution for a fractional boundary value problem
... This paper concerns the existence of unbounded positive solutions of a fractional boundary value problem on the half line. By means of the properties of the Green function and the compression ...
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Multiple Positive Solutions for a Fractional Boundary Value Problem with Fractional Integral Deviating Argument
... This work is devoted to the existence of positive solutions for a fractional boundary value problem with fractional integral deviating argument. The proofs of the main results are based ...
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Positive Solutions of a Four-point Fractional Boundary Value Problem
... Abstract—In this paper, based on the contraction map prin- ciple and the fixed point index theory, sufficient conditions are established for the uniqueness and existence results of positive solution for four-point ...
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Iterative Technology in a Singular Fractional Boundary Value Problem with q Difference
... Fractional differential equations have been of great interest recently because of their intensive applications in economics, financial mathematics and other applied science (see [1]-[13] and the references ...
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Nontrivial solutions for a fractional boundary value problem
... Here α ∈ (2, 3] is a real number, D α 0+ is the standard Riemann-Liouville fractional derivative of order α . By virtue of some inequalities associated with Green’s function, without the assumption of the ...
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Nonnegative Solutions for a Riemann Liouville Fractional Boundary Value Problem
... Riemann-Liouville fractional differential equation with integral terms (E) sup- plemented with the boundary conditions (BC) which contain Riemann-Liouville fractional derivatives of different orders ...
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Existence and localization of positive solutions for a fractional boundary value problem at resonance
... In recent years, there has been much work related to boundary value problems at res- onance for ordinary or fractional differential equations. We refer the reader to [–] and the references therein. ...
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The eigenvalues and sign changing solutions of a fractional boundary value problem
... sign-changing solutions of the corresponding nonlinear problem by fixed point index and Leray-Schauder degree. To date, no paper has appeared in the literature which discusses sign-changing solutions of ...
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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM
... The theory of fractional calculus is one of the branches of study which involves integrals and derivatives of an arbitrary order. In the past few decades, frac- tional calculus is one of the most novel types of ...
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Precondition for Discretized Fractional Boundary Value Problem
... a fractional partial differential equation on the red black ordering grid is ...The value of the relaxation parameter is chosen on the bases of the graphical representation of the behavior of the spectral ...
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Existence of solutions for a mixed fractional boundary value problem
... a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional ...posed problem to a sum of two integral operators, then we apply Krasnoselskii’s fixed ...
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Solvability of fractional boundary value problem with p Laplacian operator at resonance
... multi-point boundary value problem at resonance for a class of Riemanne-Liouville fractional differential equations with p-Laplacian operator and dim Ker M = by constructing suitable ...
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Existence of solutions for a coupled system of fractional differential equations at resonance
... In this paper, by using the coincidence degree theory, we study the existence of solutions for a coupled system of fractional differential equations at resonance. A new result on the existence of solutions for a ...
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Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions
... In this paper, we prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian operator. Then, under some mild assumptions on the nonlinear ...
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Solvability of Neumann boundary value problem for fractional p Laplacian equation
... We consider the existence of solutions for a Neumann boundary value problem for the fractional p-Laplacian equation. Under certain nonlinear growth conditions of the nonlinearity, we obtain a ...
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Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order
... multiple-point boundary value problem for fractional differential equations,” Computers & Mathematics with Applications, ...nonlocal boundary value problems of nonlinear ...
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Existence results for a functional boundary value problem of fractional differential equations
... For the convenience of the reader, we present here the necessary definitions from frac- tional calculus theory. These definitions and properties can be found in the literature. The readers who are unfamiliar with this area ...
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