STUDY OF TEMPERED ψ-FRACTIONAL DIFFERENTIAL EQUATIONS VIA FIXED-POINT RESULTS IN b-LOCALLY CONVEX SPACES

We aim to extend some fixed-point results to the setting of b-locally convex spaces. As an application, we establish the existence and uniqueness of solutions for a class of nonlinear tempered ψ-fractional differential equations on unbounded domains. A key advancement of our result is that it does not impose boundedness conditions at infinity on the nonlinearity, thereby generalizing several existing results.