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   Articles with "fractional operator" as a keyword



Fractional Newton‐type integral inequalities for the Caputo fractional operator

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recommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10600

Abstract: In this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of… read more here.

Keywords: fractional operator; caputo fractional; newton type;

Mathematical analysis using fractional operator to study the dynamics of dengue fever

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad671b

Abstract: Researchers and analysts are intensively studying modeling contagious diseases using non-integer order derivatives to enhance understanding and prediction. Taking this idea forward, in this study, we consider the fractional model for dengue fever disease. The… read more here.

Keywords: dengue fever; using fractional; fractional operator; analysis ... See more keywords

A POWERFUL ITERATIVE APPROACH FOR QUINTIC COMPLEX GINZBURG–LANDAU EQUATION WITHIN THE FRAME OF FRACTIONAL OPERATOR

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recommendations! Published in 2021 at "Fractals"

DOI: 10.1142/s0218348x21400235

Abstract: The study of nonlinear phenomena associated with physical phenomena is a hot topic in the present era. The fundamental aim of this paper is to find the iterative solution for generalized quintic complex Ginzburg–Landau (GCGL)… read more here.

Keywords: fractional operator; frame fractional; ginzburg landau; within frame ... See more keywords

Generalized AB-Fractional Operator Inclusions of Hermite-Hadamard's Type via Fractional Integration

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recommendations! Published in 2023 at "Symmetry"

DOI: 10.3390/sym15051012

Abstract: The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set of fractional operators is introduced that uses the extended generalized Mittag-Leffler function Eμ,α,lγ,δ,k,c(τ;p) as a… read more here.

Keywords: fractional operator; operator; generalized fractional; inclusions hermite ... See more keywords