Recent Advances in Fractional Calculus

This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional cal...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Μορφή:	Online
Γλώσσα:	Αγγλικά
Έκδοση:	MDPI - Multidisciplinary Digital Publishing Institute 2024
Θέματα:	coincidence degree fractional-order half-line m-point resonance fractional derivative convolution meromorphic function q-nalogue of linear differential operator complex order q-starlike q-convex neighborhoods partial sums systems of (k,?) Hilfer fractional differential equations fractional integrals fractional derivatives coupled nonlocal boundary conditions existence of solutions fixed point theorems Caputo fractional derivative evolution equation infinite time-delay mild solution countability Kuratowski measure of noncompactness mathematical model fractional order Caputo optimal control shedding effect COVID-19 boundary value problems for non-linear parabolic PDE fractional step method convergence of numerical methods numerical algorithm error analysis dynamic boundary conditions convex functions (h,m)-convex functions Jensen–Mercer inequality Hermite–Hadamard inequality Hölder inequality power mean inequality non-conformable fractional operators analytic functions quantum (or q-) calculus q-fractional derivative close-to-convex functions m-fold symmetric functions Faber polynomial expansion Bullen’s inequality Hadamard inequality power mean fractional integral operators n/a thema EDItEUR::U Computing and Information Technology::UY Computer science
Διαθέσιμο Online:	ONIX_20240704_9783725812387_94
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Περιγραφή
Περίληψη:	This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional calculus, both from a practical and a theoretical point of view. The purpose of this reprint is to extend existing results in fractional calculus by considering various types of fractional operators, such as Caputo-type, Hilfer-type, and Riemann–Liouville-type, by introducing various types of inequalities, such as Bullen-type, Jensen–Mercer-type, and Hermite–Hadamard-type, as well as by analyzing fractional-order differential equations and boundary value problems.

Recent Advances in Fractional Calculus

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