Frontiers in Functional Equations and Analytic Inequalities

<div> This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics:&#xa0; </div> <div> <ul> <li>Hyperstability of a linear functional equation on restricted domains</li> <li>Hyers–Ulam’s stability results to a&#xa0;three point boundary value problem of nonlinear fractional order differential equations</li> <li>Topological&#xa0;degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential&#xa0;equations</li> <li>General Solution and Hyers-Ulam Stability of Duo Trigintic&#xa0;Functional Equation in Multi-Banach Spaces</li> <li>Stabilities of Functional Equations via Fixed Point&#xa0;Technique</li> <li>Measure zero stability&#xa0;problem for the Drygas functional equation with complex involution</li> <li>Fourier Transforms and Ulam&#xa0;Stabilities of Linear Differential Equations</li> <li>Hyers–Ulam stability of a discrete diamond–alpha derivative equation</li> <li>Approximate&#xa0;solutions of an interesting new mixed type additive-quadratic-quartic functional equation.&#xa0;<br></li> </ul> </div> <br> <div> The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy,&#xa0;Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments&#xa0;of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial&#xa0;differential equations and fractional differential equations. As such, this volume is suitable for&#xa0;researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and&#xa0;can be read independently and interesting advanced seminars can be given out of this book.&#xa0; </div>

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