Analysis of implicit differential equations via Ψ-fractional derivative
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DOI: 10.1080/09720502.2020.1741221
Abstract: Abstract In this paper, we discuss the existence, uniqueness and stability of implicit differential equation with Ψ-fractional derivative. The arguments are based upon Schauder fixed point theorem, Banach contraction principle and Ulam stability. read more here.
Keywords: implicit differential; fractional derivative; differential equations; analysis implicit ... See more keywords
Study of Convexo-Symmetric Networks via Fractional Dimensions
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DOI: 10.1109/access.2022.3207197
Abstract: For having an in-depth study and analysis of various network’s structural properties such as interconnection, extensibility, availability, centralization, vulnerability and reliability, we require distance based graph theoretic parameters. Numerous parameters like distance based dimensions help… read more here.
Keywords: networks via; fractional dimensions; symmetric networks; study convexo ... See more keywords
Some Generalized Hadamard–Type Inequalities via Fractional Integrals
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DOI: 10.3103/s1066369x21020018
Abstract: In this paper, we establish some generalized inequalities of the Hermite–Hadamard type using fractional Riemann–Liouville integrals for the class of s-convex functions in the first and second sense. We assume that second derivatives of these… read more here.
Keywords: type inequalities; via fractional; generalized hadamard; hadamard type ... See more keywords
Multiplicatively Simpson Type Inequalities via Fractional Integral
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DOI: 10.3390/sym15020460
Abstract: Multiplicative calculus, also called non-Newtonian calculus, represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type of calculus was first introduced by Grossman and Katz and it provides a… read more here.
Keywords: fractional integral; calculus; simpson type; type inequalities ... See more keywords