On a Class of Hybrid Langevin Inclusions Involving Two Generalized Fractional Derivatives


== Abstract ==

<p>In this paper, we study the existence of solutions for a hybrid Langevin inclusion involving a combination of &phi;-Hilfer and &phi;-Caputo fractional derivatives. To this end, we construct a new operator derived from the integral solution of the given boundary value inclusion problem and subsequently apply the hypotheses of Dhage&rsquo;s fixed point theorem to this fractional operator. Finally, to support our theoretical findings, an illustrative example is provided.OPEN ACCESS Received: 13/11/2025 Accepted: 20/01/2026</p>



== Document ==
<pdf>Media:Draft_content_958378948-1119-document.pdf</pdf>