Caputo fractional integro-differential equation
Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... solve Caputo fractional integro-differential equation of order q with periodic boundary condition, via initial value problem (IVP) where 0 < q < ...linear ...
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
... nonlinear integro-differential equation of frac- tional order α ∈ (0, 1) with nonlocal conditions in Banach ...The fractional differential operator is taken in the Caputo ...
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On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation
... about fractional calculus and fractional differential equations ...the Caputo definition which turns out to be of great usefulness in real-life ...
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On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro multipoint boundary conditions
... R, i = 1, 2, . . . ,n – 2 and A is a function of bounded variation. In passing we remark that the present work is motivated by a recent paper [23], where the authors studied the existence and stability of solutions for a ...
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Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... Generalized differential transform method (GDTM) is applied to solve linear integro-differential volterra –fredholm equation of fractional order ...The fractional derivative is ...
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Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... the Caputo differential operator coincides with the usual differential operator of an integer ...the Caputo fractional differentiation is a linear ...
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Approximate solutions of a sum type fractional integro differential equation by using Chebyshev and Legendre polynomials
... We investigate the existence of solutions for a sum-type fractional integro-differential problem via the Caputo differentiation. By using the shifted Legendre and Chebyshev polynomials, we provide a ...
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A new method for investigating approximate solutions of some fractional integro differential equations involving the Caputo Fabrizio derivative
... functions k, s and h are not necessarily continuous. Since the left side of equation () is continuous, the right side so is as the problem () is a well-defined equation. For this reason, we supposed ...
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EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... Abstract: In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential ...
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APPROXIMATING SOLUTIONS OF NONLINEAR HYBRID CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS VIA DHAGE ITERATION PRINCIPLE
... Theorem 1 [6]. Let (E, , k · k) be a regular partially ordered complete normed linear space such that the order relation and the norm k · k are compatible in every compact chain of E. Let A : E → E be a partially ...
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Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... by fractional differential equa- tions and hence the study of these type of equations is very important due to their frequent appearance in various appli- cations in fluid mechanics, biology, physics and ...
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Mild solution for fractional functional integro-differential equation with not instantaneous impulse
... Equation (1.5) is very important due to its appearance in mathematical modeling of viscoelasticity and other fields of science and engineering. This fact motivate us to study the existence results of 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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Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets
... of fractional derivatives does not constitute a disadvantage, since they can be used in different models which provide the best reflection of the behavior of the ...fuzzy fractional differential equations ...
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On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations
... Fractional derivatives with nonsingular kernels started to be utilized from both theoret- ical and applied viewpoints. Particularly, the fractional Caputo-Fabrizio derivative was applied to models ...
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Linear fractional fuzzy differential equations with Caputo derivative
... fuzzy fractional differential equations under Caputo sense and present the explicit solutions of this problem in the general ...calculus, fractional calculus and fuzzy Laplace ...
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Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... of fractional-order differential ...of fractional derivative and integration for such functions to construct a new Tau technique for solving fractional partial differential equations ...
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On impulsive nonlocal integro initial value problems involving multi order Caputo type generalized fractional derivatives and generalized fractional integrals
... Impulsive dynamical systems involve some continuous variable dynamic characteristics, together with certain reset maps generating impulsive switching among them. The dy- namical behavior of impulsive systems is much more ...
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Existence and Uniqueness of Solution for a Fractional Order Integro Differential Equation with Non Local and Global Boundary Conditions
... a fractional order Fredholm – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known Fredholm integral ...
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Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators
... impulsive differential equations have become an active area of research due to their demon- strated applications in widespread fields of science and engineering such as biology, physics, control theory, population ...
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