In this paper, we introduce a new concept of an orthogonal partial order metric space. We
also establish some new fixed point theorems for an orthogonal rational type contraction …

In this manuscript, we study the sufficient conditions for existence and uniqueness results of
solutions of impulsive Hilfer fractional Volterra-Fredholm integro-differential equations with …

The purpose of this paper is to investigate the existence and uniqueness of solutions for
nonlinear fractional implicit integro-differential equations of Hadamard-Caputo type with …

The primary focus of this article is to explore the existence and controllability of a new class
of Sobolev-type Hilfer fractional stochastic Volterra-Fredholm integrodifferential systems in …

In this paper, by means of the Schauder fixed point theorem and Arzela-Ascoli theorem, the
existence and uniqueness of solutions for a class of not instantaneous impulsive problems …

In this work, we explore the existence and uniqueness results for a class of boundary value
issues for implicit Volterra-Fredholm nonlinear integro-differential equations (IDEs) with …

In this study, a class of nonlinear boundary fractional Caputo Volterra-Fredholm integro-
differential equations (CV-FIDEs) is taken into account. Under specific assumptions about …

In this study, we demonstrate the fixed point theorem for rational contractive mapping on a
complete G− metric space. Furthermore, we provide an application of a first-order boundary …

This article investigates the proper existence conditions and uniqueness results for a class
of fuzzy fractional Caputo Volterra-Fredholm integro-differential equations (FFCV-FIDE) with …

In this study, we take into account a class of fractional Caputo-Atangana-Baleanu (CAB)
integro-differential equations. We develop certain standards for determining the existence …