Fixed point theorems via auxiliary functions with applications to two-term fractional differential equations with nonlocal boundary conditions

Fixed point theorems via auxiliary functions with applications to two-term fractional differential equations with nonlocal boundary conditions

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In this study, the $ (h $-$ arphi)_R $ and $ (h $-$ arphi)_M $-contractions with two metrics endowed with a directed graph are examined using Shop Service auxiliary functions.We propose a set of criteria that guarantees the existence of common fixed points for our contractions.This leads to a generalization of previous results in the literature.

Towards our accomplishments, we establish affirmative results that demonstrate solutions to a class of nonlinear two-term fractional differential equations Gloves with nonlocal boundary conditions.To further corroborate our major findings, we also provide instances.