Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness
K. Kavitha, V. Vijayakumar, R. Udhayakumar, Kottakkaran Sooppy Nisar
Abstract
In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer fractional evolution system with infinite delay via measures of noncompactness. Fractional calculus and fixed‐point approach are taken into consideration to study the primary outcomes. Finally, we extend the results to the existence of a neutral system with nonlocal conditions. Ultimately, a model is presented for illustration of theory.
Topics & Concepts
MathematicsFractional calculusFixed-point theoremApplied mathematicsPoint (geometry)Fixed pointCalculus (dental)Mathematical analysisGeometryDentistryMedicineFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations