Series Solution of Fuzzy Differential Equations under Strongly Generalized Differentiability

By Abu Arqub. 2013

279 citations recorded by the source corpus.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cd1c8c0d1994e9a65a63572ec007954755bb4b6d

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Citations in the corpus

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations (2017, background): “As a conclusion, to overcome the above-mentioned shortcoming, the concept of a strongly generalized differentiability was developed and investigated in [2, 7, 9, 10, 19, 20, 21, 25, 48].”
A Reliable Analytical Method for Solving Higher-Order Initial Value Problems (2013, methodology): “The RPSmethod consists in expressing the solution of (1) and (2) as a power series expansion about the initial point 0 [1, 2].”
Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (2015, background): “The reader is asked to refer to Abu Arqub (2013), Abu Arqub et al. (2013a,b), Ahmad et al. (2013), Allahviranloo et al. (2009a,b), Effati and Pakdaman (2010), Khastan and Ivaz (2009), Khastan et al. (2011), Ma et al. (1999), Mosleh (2013), and Palligki-nis et al. (2009) to know more details about…”
Analytical solution of time-fractional two-component evolutionary system of order 2 by residual power series method (2015, methodology): “The RPS method was developed as an efficient method for determining values of coefficients of the power series solution for the first-order and the second-order fuzzy deferential equations [1].”
Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method (2016, methodology): “So, as in [1], we attempt to construct approximate solution.”
A Representation of the Exact Solution of Generalized Lane-Emden Equations Using a New Analytical Method (2013, methodology): “The RPS method has the following characteristics [18]: first, it obtains a Taylor expansion of the solution, and as a result, the exact solution is obtained whenever it is a polynomial.”
A Novel Representation of the Exact Solution for Differential Algebraic Equations System Using Residual Power-Series Method (2015, methodology): “[30] A. El-Ajou, O. Abu Arqub, Z. Al Zhour, and S. Momani, “New results on fractional power series: theories and applications,” Entropy, vol. 15, no. 12, pp. 5305–5323, 2013.”