Results 31 to 40 of about 18,553 (218)
Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function
Alexandria Engineering Journal, 2023 In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin.
Wen-Hua Huang +5 more
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Generalised Fractional Evolution Equations of Caputo Type [PDF]
, 2017 This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obtain well-posedness results and stochastic representations for the ...
Hernández-Hernández, M. E. +2 more
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Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative [PDF]
, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
Haubold, H. J. +2 more
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ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order 𝛼 has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple
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Constrained Controllability of the h-Difference Fractional Control Systems with Caputo Type Operator
Discrete Dynamics in Nature and Society, 2015 The problem of controllability to a given convex target set of linear fractional systems with h-difference fractional operator of Caputo type is studied. Necessary and sufficient conditions of controllability with constrained controllers for such systems
Ewa Pawluszewicz
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The Caputo-Fabrizio New fractional derivation applied to the Fisher emission linear equation [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsAn analysis and paper were provided for Fisher's reaction-diffusion equation using the time-frictional Caputo-Fabrizio equation. In addition, we offered the modified problem's iterative method solution. We demonstrated the stability of the approach using
Hunar Azeez, Dilan Rahman, Soran Saleh
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On Extended Caputo Fractional Derivative Operator
, 2017 The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Also, we investigate the extended fractional derivative of some familiar special functions, the Mellin transforms of newly ...
Gauhar Rahman +2 more
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On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator
Abstract and Applied Analysis, 2013 We consider the model of a Caputo -fractional boundary value problem involving -Laplacian operator. By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo -fractional boundary value ...
Hüseyin Aktuğlu, Mehmet Ali Özarslan
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On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis
Fractal and Fractional, 2021 The discrete delta Caputo-Fabrizio fractional differences and sums are proposed to distinguish their monotonicity analysis from the sense of Riemann and Caputo operators on the time scale Z. Moreover, the action of Q− operator and discrete delta Laplace transform method are also reported.
Pshtiwan Othman Mohammed +2 more
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Complexity, 2021 The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem
Zhongqi Peng +3 more
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