[PDF] Top 20 M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions
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M-Point Boundary Value Problem for Caputo Fractional Differential Eqautions
... of m-point boundary value problem involving Caputo fractional derivative are established using fixed point ...fixed point theorem, Schaufer’s fixed ... See full document
7
MULTIPLE POSITIVE SOLUTIONS FOR A SYSTEM OF FRACTIONAL HIGHER-ORDER INFINITE-POINT BOUNDARY VALUE PROBLEMS
... The rest of the paper is organized as follows. In Section 2, we present some definitions and background results. For sake of convenience, we also state the fixed point theorems. In Section 3, we construct the ... See full document
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On Existence of Solutions to the Caputo Type Fractional Order Three-Point Boundary Value Problems
... order. Fractional order derivatives provide a new approach for modeling complex phenomena in physics, mechanics, control systems, flow in porous media, signal and image processing, aerodynamics, electromagnetics, ... See full document
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Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi point boundary condition via Caputo derivative
... Sturm–Liouville boundary value problems have received considerable attention from many researchers during the last two decades; see for example Al-Mdallal [1], Bensidhoum and Dib [2], Erturk [7], Hassana ... See full document
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The positive solutions of infinite point boundary value problem of fractional differential equations on the infinite interval
... () According to Theorem ., we know that there exists a constant λ ∗ ∈ (., ,) such that boundary value problem (.) has at least one positive solution for each λ ∈ [, λ ∗ ], two positive ... See full document
21
Lyapunov-type Inequality for Higher Order Fractional Boundary Value Problem with Caputo Derivative
... for fractional boundary value problem of order ∝, 3 <∝≤ 4 defined in terms of Caputo fractional ...obtain fractional Green's functions for the corresponding ... See full document
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On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations
... fixed point theorem)) Let (D, d) be a complete metric space, U be a closed convex subset of D, and T : D → D be the map such that the set Tu : u ∈ U is relatively compact in ...fixed point u ∗ ∈ U : Tu ∗ = u ... See full document
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Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
... the boundary value problems (BVP) ...fixed point theorem, and the others are based on Schau- der’s fixed point theorem and Leray-Schauder type nonlinear ... See full document
12
Lyapunov type inequalities for an anti periodic fractional boundary value problem involving ψ Caputo fractional derivative
... a fractional boundary value problem involving Caputo fractional derivative by using an adequate change of ...to fractional calculus, see, for example, [1, 14, ... See full document
11
Integro differential fractional boundary value problem on an unbounded domain
... nonlinear fractional differential equations of Volterra type with nonlocal fractional integro-differential boundary conditions on an infinite ... See full document
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Positive solutions of the three point boundary value problem for fractional order differential equations with an advanced argument
... Differential equations with deviated arguments are found to be important mathema- tical tools for the better understanding of several real world problems in physics, mechanics, engineering, economics, etc. ... See full document
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Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line
... Since f (t, ) ≡ , for all t ∈ [, +∞), is not a solution of the boundary value problem (.)-(.). We know that u ∗ and v ∗ are the maximal and minimal positive solutions of the boundary ... See full document
16
Boundary value problem for nonlinear fractional differential equations with delay
... on fractional functional differential equations with delay is relatively sparse ...of fractional differential ...with boundary value problems of fractional functional differential ... See full document
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Existence of solutions for nonlinear Caputo-Hadamard fractional differential equations with nonlocal Condition
... initial value problem for a class of nonlinear Caputo-Hadamard fractional differential equations with nonlocal ...fixed point theorem and the Banach contraction principle fixed ... See full document
11
Positive Solutions of a Four-point Fractional Boundary Value Problem
... fractional derivative. The function f ∈ C([0, 1]×[0, +∞) → [0, +∞)). By means of contraction map principle and the fixed point index theory, we establish the uniqueness and existence results of positive ... See full document
5
Boundary value problems for fractional differential equations with three point fractional integral boundary conditions
... Cabada et al. [] have also studied properties of solutions of nonlinear fractional dif- ferential equations. They used the properties of the associated Green’s function and the Guo-Krasnosellskii ... See full document
10
On boundary value problems of higher order abstract fractional integro-differential equations
... In this paper, we have discussed the achievement of sufficient conditions for the existence of solutions of fractional BVP (1.1) which is more general than problems in literatures review [1, 3, 20], by applying ... See full document
20
Boundary Value Problem of Fractional Differential Equation
... Fractional differential equations are the generalization of ordinary equation to arbitrary non-integer order, and have received more and more interest due to their wide applications in various branch of ... See full document
6
Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces
... about fractional calculus and differential equations to be used in the following ...fixed point theorem and the second one is based on Banach’s fixed point ... See full document
15
Existence of nonnegative solutions for a fractional m-point boundary value problem at resonance
... second-order m-point boundary value problem at reso- nance by using a new fixed point theorem of increasing operators, and in this paper we use this method of Wang to establish ... See full document
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