[PDF] Top 20 Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
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Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... the monotone iterative technique MIT combined with method of lower and upper solu- tions offers a flexible mechanism to obtain a solution of the considered mathematical model, this technique was ... See full document
14
Vol 8, No 8 (2017)
... Volterra integro-differential equations with weakly singular ...Picard method to find existence and uniqueness of the solution Volterra fractional integral equation of the second ... See full document
7
Generalized Quasilinearization for PBVP for Hybrid Caputo Fractional Differential Equations
... hybrid fractional differential equation or fractional differential equation with impulses have been ...The method of quasilinearization [11] is a flexible mechanism that ... See full document
7
EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential ...the method and reduction in ... See full document
16
A new method for investigating approximate solutions of some fractional integro differential equations involving the Caputo Fabrizio derivative
... some fractional integro-differential equations involving the Caputo-Fabrizio ...an equation is equivalent to the approximate fixed point of an appropriate ... See full document
12
Monotone iterative technique for a nonlinear fractional q difference equation of Caputo type
... the method of upper and lower solutions coupled with the monotone iterative technique to fractional q-difference ...the method, we establish a comparison theorem involving the ... See full document
11
Numerical solution of nonlinear fractional integro-differential equation by Collocation method
... nonlinear fractional integrodifferential equations using Collocation method with the help of Chebyshev polynomials and Legendre polynomials to reduce to system of nonlinear equations and which can be solved ... See full document
7
Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
... for fractional differential systems with initial or two-point boundary value conditions, by using the monotone iterative technique, combined with the method of upper and lower solutions; for ... See full document
9
Vol 8, No 5 (2017)
... the method of quasilinearization [8] for the integro differential equations involving both retardation and ...linear integro differential equation with anticipation and ...the ... See full document
7
On The Numerical Solution of Picard Iteration Method for Fractional Integro - Differential Equation
... Approximation method also called the Picard Iteration Method (PIM) for solving Fractional integro-differential equations is ...The fractional derivative is considered in the ... See full document
7
Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments
... for fractional differential equation involving the Caputo fractional derivative with deviating ...a monotone iterative technique and the method of lower and upper ... See full document
11
Positive solutions and monotone iterative sequences for a fractional differential equation with integral boundary conditions
... a monotone iterative method. The method used in this paper is different from that used in ...two iterative schemes approxi- mating the solutions, and the iterative scheme starts ... See full document
10
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 ... See full document
12
Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order
... the Generalized Differential Transformation Method (GDTM) for approximating the solution of systems of linear volterra integro-differential equations of fractional of ... See full document
18
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 ... See full document
6
New Modified Method of the Chebyshev Collocation Method for Solving Fractional Diffusion Equation
... Fokker-Planck equation into a system of ordinary differential equations suggested in( [15], [16]) ...space fractional diffusion equations are solved numerically ...collocation method to ... See full document
20
Fractional Versions of the Fundamental Theorem of Calculus
... of fractional integral in the Riemann-Liouville, Liouville, Weyl and Riesz sense is ...Liouville, Caputo, Weyl and Riesz versions are ...of fractional calculus is presented and discussed in all these ... See full document
11
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
... As part of the main work, nonlinear Volterra type integral equations of the second kind corresponding to the Cauchy problems are shown and, subsequently, Banach fixed point theorem is applied. But before we start, let us ... See full document
13
On high order fractional integro-differential equations including the Caputo–Fabrizio derivative
... order fractional integro-differential ...new fractional derivatives entitled CFD and DCF and by using those we investigate the existence of solutions for two high order fractional ... See full document
15
On the Solutions of a Class of Fractional Hyperbolic Integro-Differential Inclusions
... a generalized Caputo-Katugampola fractional derivative was proposed in [10] by Katugampola and afterwards he provided the existence of solutions for fractional differential equations ... See full document
13
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