General Mathematics, lcsh:Mathematics, 010102 general mathematics, Fixed point, Nonlinear integral equation, lcsh:QA1-939, 01 natural sciences, Integral equation, Volterra integral equation, 010101 applied mathematics, Nonlinear system, symbols.namesake, integral equation, fixed point, modified argument, Argument, Computer Science (miscellaneous), symbols, Applied mathematics, b-metric space, Uniqueness, 0101 mathematics, Engineering (miscellaneous), Geraghty contraction, Mathematics
Abstract
Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness conditions for the solution of a nonlinear Fredholm&ndash, Volterra integral equation with a modified argument.
Pure mathematics, Polynomial, Physics and Astronomy (miscellaneous), Logarithm, double integral, General Mathematics, Mathematics::Number Theory, Mathematics::Classical Analysis and ODEs, Catalan's constant, 01 natural sciences, symbols.namesake, Lerch zeta function, Computer Science (miscellaneous), Aprey’s constant, QA1-939, 0101 mathematics, Mathematics, Multiple integral, 010102 general mathematics, Catalan’s constant, Object (computer science), Exponential function, Riemann zeta function, 010101 applied mathematics, Chemistry (miscellaneous), symbols, Lerch function
Abstract
The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.
Published
2021
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