Results 41 to 50 of about 6,876 (298)
Journal of Ocean Engineering and Science, 2019 In this paper, the (G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV (FGHSC KdV) system.
Hadi Rezazadeh +3 more
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Fractional variational problems with the Riesz-Caputo derivative
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R. +2 more
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Mellin transforms of generalized fractional integrals and derivatives [PDF]
Applied Mathematics and Computation, 2015 We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
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Advances in Difference Equations, 2019 The Caputo fractional version of the generalized Newell–Whitehead–Segel model is considered. We introduced a numerical scheme to solve analytically the proposed application.
Mohammed Ali +2 more
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Advances in Difference Equations, 2021 In this research paper, we intend to study the stability of solutions of some nonlinear initial value fractional differential problems. These equations are studied within the generalized fractional derivative of various orders.
Mohammed D. Kassim +3 more
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Fractional variational problems depending on indefinite integrals
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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A new Generalized fractional derivative and integral
, 2017 In this article, we introduce a new general definition of fractional derivative and fractional integral, which depends on an unknown kernel. By using these definitions, we obtain the basic properties of fractional integral and fractional derivative such as Product Rule, Quotient Rule, Chain Rule, Roll's Theorem and Mean Value Theorem.
AKKURT, Abdullah +2 more
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Taylor’s formula involving generalized fractional derivatives [PDF]
Applied Mathematics and Computation, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalized $\mathtt{k}$-fractional derivative operator
AIMS Mathematics, 2020 الهدف الرئيسي من هذه الورقة هو تقديم عامل المشتقات الكسرية $\ mathtt {k }$ باستخدام تعريف دالة $\mathtt{k }$-beta. تحدد هذه الورقة بعض النتائج المتعلقة بالمعامل الكسري المحدد حديثًا مثل تحويل Mellin والعلاقات مع $\ mathtt{k }$- hypergeometric و $\mathtt{k }$- دوال Appell.
Gauhar Rahman +2 more
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Fractal and Fractional, 2019 In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
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