[PDF] Top 20 New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
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New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
... the FNDM [] to find approximate solutions to two dif- ferent types of systems of nonlinear partial differential equations for < α, β , γ < , and exact ... See full document
19
Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... Nonlinear partial fractional equations are very effective for the description of many phys- ical phenomena such as rheology, the damping law, diffusion processes, and the nonlin- ear oscillation ... See full document
14
Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations
... the solutions for initial value problems of nonlinear hybrid fractional differential equations with maxima and with a linear as well as quadratic perturbation of second ...the ... See full document
11
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... for fractional order systems as the demanding performance expectations with uncertainties make it a challenge to come up with models that are useful, or control modules that can alleviate the difficulties ... See full document
10
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... wave solutions by using the Tan-Cot function algorithm were established for solving nonlinear partial differential ...obtain new solitary wave solutions for two ... See full document
5
Exact solutions for linear systems of local fractional partial differential equations
... local fractional differential equations or local frac- tional partial differential, adopted in its entirety on the above mentioned methods to solve this new types of ...local ... See full document
8
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... The differential equations were considered as fractional order differential equations in ...analytical solutions of these ...analytical solutions of some fractional ... See full document
6
Generalized Mittag Leffler function method for solving Lorenz system
... a new method for solving system of nonlinear fractional differential equations (Lorenz ...The new generalization is based on the Caputo fractional ...finding ... See full document
7
A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
... solve systems of nonliner fractional partial differential ...The approximate solutions obtained by this method are compared with the exact ...solving systems of ... See full document
10
Exact solutions for fractional partial differential equations by a new fractional sub equation method
... second fractional complex transformations for ...of nonlinear fractional complex transformations, it is worth to investigate the applications of other algebraic methods to fractional ... See full document
12
Existence and approximate solutions for hybrid fractional integro-differential equations
... In the present paper we prove the existence and approximations of the solutions of problem (1.1) under weaker partially compactness and partially Lipschitz type conditions via Dhage’s iteration method [14]. Very ... See full document
10
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... A new method proposed and coined by the authors as the homo-separation of variables method is utilized to solve systems of linear and nonlinear fractional partial differential ... See full document
9
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... of nonlinear partial time-space differential equations of fractional ...convert nonlinear partial fractional dif- ferential equations into nonlinear ... See full document
7
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... di↵erential equations, need special investigation that relies on the use of mathematical analysis and a range of related proof ...di↵erential equations would not be possible to obtain without the use of ... See full document
65
On boundary value problems of higher order abstract fractional integro-differential equations
... In this paper, we have discussed the achievement of sufficient conditions for the existence of solutions of fractional BVP (1.1) which is more general than problems in literatures review [1, 3, 20], by ... See full document
20
Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations
... present new uniqueness results for nonlinear fractional integro-differential with respect to the Caputo fractional operator, highlighting the method which has been used by Momani et ... See full document
8
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
... In order to prove that Wx,t defined by 2.15,2.17,2.18, is a solution of the problem 2.10,2.12, we are going to show that under which conditions such series Wx,t defines a continuous vect[r] ... See full document
10
Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics
... Nanostructures are attended by many researchers due to their special mechanical, thermal and electrical properties. In recent years, nano materials are widely used in nano-systems, therefore, studying their ... See full document
10
Analytical solution of system of differential equations by variational iteration method
... In this paper, Varitational Iteration Method using He’s Polynomials is used to construct the exact as well as approximate solutions of differential equations. From the obtained ... See full document
10
Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
... type nonlinear fractional differential system of higher ...coupled fractional di ff erential system depend on the fractional derivatives of lower orders ...the fractional differential ... See full document
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