singular fractional differential system
Denumerably many positive solutions for a n dimensional higher order singular fractional differential system
... The plan of this paper is as follows. We shall introduce some basic definitions and lem- mas of fractional calculus in the rest of this section. In Sect. 2, we give the expression and new properties of Green’s ...
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Positive solutions for higher order singular fractional differential system with coupled integral boundary conditions
... In this paper, we study the positive solutions of a higher-order singular fractional differential system with coupled integral boundary conditions. The conditions for the existence of at least one ...
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Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p Laplacian
... One of the most interesting research areas in the field of FDEs, which has attracted great consideration amongst researchers, is dedicated to the existence theory of the so- lutions of fractional models. The ...
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Positive solution of singular fractional differential system with nonlocal boundary conditions
... the singular fractional differential system with the Riemann-Stieltjes integral boundary conditions, and this work aims to contribute in this ...to fractional systems with which f , g can be ...
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Solvability of a boundary value problem for singular multi-term fractional differential system with impulse effects
... of fractional differential equa- tions and methods of their solutions were discussed by many authors; see the text books ...of fractional differential equations with or without impulse effects have been stud- ...
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Positive solutions of singular Hadamard type fractional differential equations with infinite point boundary conditions or integral boundary conditions
... of fractional order were considered with infinite-point BCs by (for example) Gao and Han [14], Ge et ...of fractional-order differential equations arising in control theory together with the infinite-point ...
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Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
... the fractional differential equations can be found in the papers ...differential system of fractional order is also very significant because this kind of system can often occur in applications ...
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The eigenvalue problem for a coupled system of singular p Laplacian differential equations involving fractional differential integral conditions
... In this paper, we deal with a coupled system of singular p-Laplacian differential equations involving fractional differential-integral conditions. By employing Schauder’s fixed point theorem and the ...
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Positive Solutions for a Singular Sum Fractional Differential System
... Ge, Positive solutions for boundary value problems of n-dimension nonlinear fractional differential system, Bound.. ID 437453.[r] ...
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Positive solutions of singular fractional order differential system with Riemann Stieltjes integral boundary condition
... In this section, we establish the existence of positive solutions results for the system (). Let E = C[, ]. It is easy to see that E is a Banach space with the norm x = sup {| x(t) | : t ∈ [, ]} for any x ∈ ...
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Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
... This paper deals with the existence and multiplicity of positive solutions for a system of nonlinear singular higher-order fractional differential equations with fractional multi-point boundary ...
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Periodic boundary value problems for singular fractional differential equations with impulse effects
... on fractional boundary value problems involves either Riemann-Liouville or Caputo type fractional differential equations see [4–6, ...of fractional derivatives that appears side by side to ...
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Some new weakly singular integral inequalities and their applications to fractional differential equations
... (E-K) fractional integral, we will study the boundedness of a certain FDE with R-L frac- tional operator and E-K fractional ...two fractional operators are given ...
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Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
... While there are a lot of works dealing with necessary and sufficient conditions for integer-order differential equations, the results of fractional differential equations are rel- atively scarce due to the difficulties ...
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Picard iterative processes for initial value problems of singular fractional differential equations
... Remark . Theorem . improves essentially Theorems D and E by generalizing the re- strictive condition imposed on f . Theorem . improves the main results in [, , ] by re- moving the assumption that the upper and ...
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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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On boundary value problems for fractional integro-differential equations in Banach spaces
... Theorem 4.2. Assume that(H1), (H4) and (H5) hold. Then the fractional BVP (1.1) has at least one solution on J . Proof. Transform the fractional BVP (1.1) into a fixed point problem. Consider the operator F ...
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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 ...coupled system of fractional order is ...
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Stability Analysis of Conformable Fractional Systems
... of fractional differential systems equipped with the conformable fractional ...of fractional differential systems are proposed by applying the fractional exponential function and ...
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Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... some fractional-order functions (polynomial or wavelet) have been proposed to solve fractional differential ...the fractional-order generalized Laguerre functions to find numerical solution of systems ...
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