
<abstract><p>This work primarily delves into three key areas: the presence of mild solutions, exploration of the topological and geometrical makeup of solution sets, and the continuous dependency of solutions on a second-order semilinear integro-differential inclusion. The Bohnenblust-Karlin fixed-point method has been integrated with Grimmer's theory of resolvent operators. Ultimately, the study delves into a mild solution for a partial integro-differential inclusion to showcase the achieved outcomes.</p></abstract>
Variational Integrators, Mathematical analysis, semilinear integro-differential inclusion, Numerical Integration Methods for Differential Equations, Differential Equations, mild solution, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Matrix Algorithms and Iterative Methods, Numerical Analysis, Differential inclusion, Physics, Applied mathematics, Computer science, Computational Theory and Mathematics, fixed point technique, Modeling and Simulation, Computer Science, Physical Sciences, Thermodynamics, Differential (mechanical device), Numerical Integration, Iterative Methods, partial integro-differential inclusion, Mathematics, Matrix Computations
Variational Integrators, Mathematical analysis, semilinear integro-differential inclusion, Numerical Integration Methods for Differential Equations, Differential Equations, mild solution, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Matrix Algorithms and Iterative Methods, Numerical Analysis, Differential inclusion, Physics, Applied mathematics, Computer science, Computational Theory and Mathematics, fixed point technique, Modeling and Simulation, Computer Science, Physical Sciences, Thermodynamics, Differential (mechanical device), Numerical Integration, Iterative Methods, partial integro-differential inclusion, Mathematics, Matrix Computations
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