Some existence results for a differential equation and an inclusion of fractional order via (convex) F -contraction mapping
Journal of Inequalities and Applications(2024)
Abstract
The existence of solutions for a class of μ -Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ -integral boundary conditions are investigated. We use F -contraction, convex F -contraction, and some consequences to achieve the desired goals. Finally, some examples are provided to illustrate the results.
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Key words
Convex F-contraction,Fixed point,Fractional differential inclusion
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