Caputo fractional differential equation
Existence of positive solutions for nonlinear four-point Caputo fractional differential equation with p-Laplacian
... The monotone iterative technique is used to solve the problem of a kind of nonlinear four-point Caputo fractional differential equation with p-Laplacian operator. Under cer- tain nonlinear growth ...
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On Hybrid Caputo Fractional Differential Equations with Variable Moments of Impulse
... the fractional differential equation ...hybrid Caputo fractional differential equation with variable moments of ...
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New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... Abstract. In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations. The fractional derivative is considered in the ...
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A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment
... the fractional cal- culus. The main reasons given for using fractional derivative models are that many systems show memory, history, or nonlocal effects, which can be difficult to model using integer or- der ...
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
... Fractional differential equations are joined with intensive applications such as continuum phenomena mechanics, electrochemistry, biophysics, biotechnology engineering ...to fractional ...
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Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... and we conclude that p(t ) ≤ 0 on J, and obtain. Similarly we can show that w 1 ≤ w 0 on J. Next we consider p(t ) = v 1 (t ) − w 1 (t), then by adding and subtracting suitable terms, and using the fact that F is ...
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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 fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the Banach ...
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Differential inequalities for a finite system of hybrid Caputo fractional differential equations
... basic fractional differential inequalities for a finite system of an initial value problem of hybrid fractional differential equations involving derivatives are proved with a linear ...
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Generalized Quasilinearization for PBVP for Hybrid Caputo Fractional Differential Equations
... hybrid fractional differential equation or fractional differential equation with impulses have been ...of fractional differential equation with ...hybrid ...
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Lyapunov functions and strict stability of Caputo fractional differential equations
... of fractional order systems is quite ...to fractional differential equations causes many ...the Caputo fractional Dini derivative) for the derivative of Lyapunov functions to study a nonlinear ...
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Impulsive initial value problems for a class of implicit fractional differential equations
... implicit fractional differential equations involving the Caputo fractional derivative of order β ∈ (1, ...nonlinear equation are analyzed by establishing sufficient conditions for ...
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Initial time difference quasilinearization for Caputo Fractional Differential Equations
... In a recent study [24], the Hölder continuity assumption is relaxed to C p continuity of the functions involved in the Riemann-Liouville fractional differential equation. In the following we also ...
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Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments
... for fractional differential equation involving the Caputo fractional derivative with deviating ...Keywords: Fractional differential equation with deviating ...
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ON THE SOLUTIONS OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
... fuzzy fractional differential ...fuzzy fractional differential equations, in the sense of Riemann-Liouville Hukuhara-differentiability, are constructed by using fuzzy the Laplace ...with fractional ...
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Fractional Versions of the Fundamental Theorem of Calculus
... The differential operator of non integer order in t Caputo sense is similar to the differential operator of non integer order in the Riemann-Liouville ...the Caputo sense, the derivative acts ...
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The extended fractional Caputo–Fabrizio derivative of order \(0\leq \sigma <1\) on \(C {\mathbb{R}}[0,1]\) and the existence of solutions for two higher order series type differential equations
... with boundary condition κ (0) = 0, where σ , ν, , δ ∈ (0, 1). Note that the functions h and g may be discontinuous. Since the left side of equation (2) is continuous, so is the right side as problem (2) should be ...
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Probabilistic solutions to nonlinear fractional differential equations of generalized Caputo and Riemann–Liouville type
... generalized Caputo and Riemann- Liouville type fractional ...linear equation with non constant coefficients and the generalized composite frac- tional relaxation ...sical fractional ...
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Chebyshev Pseudo Spectral Method for Solving Fractional Advection Dispersion Equation
... Fractional differential equations have recently been applied in various areas of engineering, science, finance, applied mathematics, bio-engineering and ...the fractional Advection-dispersion ...
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Nonlinear fractional Caputo Langevin equation with nonlocal Riemann Liouville fractional integral conditions
... In this paper, we study the existence and uniqueness of solution for a problem consisting of a sequential nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville ...
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Integer Versus Fractional Order SEIR Deterministic and Stochastic Models of Measles
... (Caputo) fractional differential equations depicting the susceptible-exposed-infectious-recovered (SEIR) models of ...and fractional stochastic processes, we introduce the fractional ...
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