Fractional Order Integro-Differential Equation
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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Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... solving fractional differential and fractional integro-differential equations different numerical techniques have been ...[1] fractional differential transform method is ...
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Uniqueness and existence of positive solutions for the fractional integro-differential equation
... the fractional order model, motivated by the mentioned equation models and their application back- ground, in this paper, we concentrate on the more complicated and abstract fractional ...
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Mild solution for fractional functional integro-differential equation with not instantaneous impulse
... ordinary differential equation is a differential equation with an arbitrary non integer ...order. Fractional differential equations are widely used in modeling of several ...
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NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
... Nonlocal problems can arise in studying various problems of mathematical biology, predicting soil moisture, problems of plasma. Note that nonlocal conditions of the type (1.3) take place in modeling the problems of the ...
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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
... of order 𝛼𝛼 = 1/2 has been described by Leibniz ...non-integer order goes back to Leibniz, Liouville, Grȕnwald, Letnikov and ...about fractional calculus and fractional differential ...
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Spectral solution of fractional fourth order partial integro-differential equations
... of fractional differential equa- tions, because recent investigations in science and engineering have indicated that the dynamics of many systems can be described more accurately using differential equations of ...
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Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... Caputo differential operator coincides with the usual differential operator of an integer ...Caputo fractional differentiation is a linear ...
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An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method Mohammed G. S. AL-Safi
... solve fractional order Volterra-Fredholm integro-differential ...the fractional order Volterra-Fredholm integro- differential equation to the solution of ...
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Vol 8, No 8 (2017)
... Volterra integro-differential equations with weakly singular ...Volterra fractional integral equation of the second ...Volterra fractional integro-differential equations ...
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The solving integro-differential equations of fractional order with the ultraspherical functions
... highest order derivative in the given equation and generat approximations to the lower order derivatives through fractional integrations of ...
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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 order of the ...
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Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... of fractional calculus in viscoelasticity has become an inter- esting field of study to be ...example, fractional derivatives without singular kernels have been proposed as mathematical tools to describe the ...
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Global attractivity for fractional order delay partial integro differential equations
... By Lemma 3.2, the problem of finding the solutions of the problem (1)-(3) is reduced to finding the solutions of the operator equation N(u)= u. Equation (7) yields that N transforms the ball B h := B(0, h ) ...
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Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... 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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Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators
... impulsive differential equation with fractional ...such differential equations, we refer to the monographs [12], [18], and papers [5], [6], [14], [17], [19], [21]-[22], and references given ...
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On boundary value problems of higher order abstract fractional integro-differential equations
... Many authors have investigated the special forms of equation (1.1) with different boundary con- ditions by using various techniques, see for examples [1, 2, 4, 5, 6, 7, 10, 12, 13, 18, 20]. Here, we establish ...
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Application of fractional-order Bernoulli functions for solving fractional Riccati differential equation
... Fig. 3 shows the numerical results of problem (6.4) for N = 5, c = 0 with α = ν = 0.5, 0.75, 0.85, 0.95, 1 and the exact solution. We see that the approximate solutions are in good agreement with the exact solution, when ...
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Partial neutral functional integro-differential equations of fractional order with delay
... Fractional differential and integral equations have recently been applied in various areas of engineering, science, finance, applied mathematics, bio-engineering and others. There has been a significant development ...
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