Results 11 to 20 of about 1,041 (176)
A Conformable Fractional Calculus on Arbitrary Time Scales [PDF]
, 2015 A conformable time-scale fractional calculus of order α ∈]0,1] is introduced. The basictools for fractional differentiation and fractional integration are then developed.
Nadia Benkhettou +2 more
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Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation
Demonstratio Mathematica, 2023 The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
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On fractional kinetic equations k-Struve functions based solutions
Alexandria Engineering Journal, 2018 In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar +2 more
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On nonexistence of solutions to some time-space fractional evolution equations with transformed space argument [PDF]
Bulletin of Mathematical Sciences, 2022 Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method.
A. Alsaedi, M. Kirane, A. Fino, B. Ahmad
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A note on fractional difference operators
Alexandria Engineering Journal, 2018 In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
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Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences, 2019 In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
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On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals
, 2017 In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
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IJISCS (International Journal of Information System and Computer Science), 2023 The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions.
A. Rafeeq, Muhammad Muhammad
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Quantum calculus on finite intervals and applications to impulsive difference equations
, 2013 In this paper we initiate the study of quantum calculus on finite intervals. We define the qk-derivative and qk-integral of a function and prove their basic properties.
J. Tariboon, S. Ntouyas
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Differential Equations & Applications, 2023 . In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators.
J. F. Junior +2 more
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