A dynamical behavior of the coupled Broer-Kaup-Kupershmidt equation using two efficient analytical techniques. [PDF]
Ansar R +4 more
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Study of phase separation process in multi-component mixtures using analytical methods and decomposition variational iteration method for the fourth-order Cahn-Hilliard equation. [PDF]
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Hyers Ulam stability and bifurcation control of leptospirosis disease dynamics and preventations: Modeling with singular and non-singular kernels. [PDF]
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A hybrid yang transform adomian decomposition method for solving time-fractional nonlinear partial differential equation. [PDF]
Bekela AS, Deresse AT.
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Conformable fractional integral inequalities of Chebyshev type
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018The authors derived and proved several new Chebyshev-type inequalities involving new conformable fractional integral operators.
Ilker Mumcu, Erhan Set, Set Erhan
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Volterra-Fredholm-type integral inequalities for generalized conformable fractional integrals
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On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals
2018An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann–Liouville integral operator (transformation) of fractional integral is defined as $$S_{\alpha }(x)= \frac{1}{\Gamma (x)} \int _{0}^{x} (x-t)^{\alpha -1}f(t)dt$$ where f(t) is any integrable function on [0, 1] and \(\alpha >0\), t is in domain
Emin Ozdemir M. +6 more
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Discussion on Barbalat Lemma extensions for conformable fractional integrals
International Journal of Control, 2017In this paper, the Barbalat-type lemmas for conformable fractional order integrals which can be used to conclude the convergence of a function to zero is discussed.
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OPIAL-TYPE INEQUALITY ABOUT CONFORMABLE FRACTIONAL INTEGRALS AND THE APPLICATION
Fractals, 2021In this paper, we define partial conformable fractional derivative (PCFD) which is based on the fractional derivative definition proposed by Abdeljawad. At the same time, we present some simple properties about the definition, the properties are useful for us when we carry out further research.
Qi, Yongfang +2 more
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On Some Special Functions for Conformable Fractional Integrals
2020In this paper, we introduce the (α,k)-gamma function, (α,k)-beta function, Pochhammer symbol (x)αn,k and Laplace transforms for conformable fractional integrals. We prove several properties generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. The results presented here would provide generalizations of those
SARIKAYA, Mehmet Zeki +4 more
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