In this manuscript, we establish the notion of neutrosophic rectangular extended b-metric
spaces and derive some fixed point results for contraction mappings. Also, we provide …

In this paper, we study the coupled system of nonlinear Langevin equations involving
Caputo–Hadamard fractional derivative and subject to nonperiodic boundary conditions …

In this manuscript, owing to the concept of w-distance, we prove the much acclaimed
Banach's fixed point theorem in orthogonal metric spaces. Further, our paper includes a …

In this paper, we investigate the existence of positive solutions for Hadamard type fractional
differential system with coupled nonlocal fractional integral boundary conditions on an …

This paper is devoted to establishing the existence theory for at least one solution to a
coupled system of fractional order differential equations (FDEs). The problem under …

We investigate the existence and uniqueness of solutions of problems of three point
boundary values of hybrid fractional differential equations with a fractional derivative of …

In this article, utilizing the concept of w-distance, we prove the celebrated Banach's fixed-
point theorem in metric spaces equipped with an arbitrary binary relation. Necessarily, our …

We solve a coupled system of nonlinear fractional differential equations equipped with
coupled fractional nonlocal non-separated boundary conditions by using the Banach …

In this paper, we consider a discrete fractional boundary value problem of the form {Δ α x (t)=
f (t+ α− 1, x (t+ α− 1)), t∈[0, T] N 0:={0, 1,…, T}, x (α− 2)= 0, x (α+ T)= Δ− β x (η+ β), where 1< …

In this paper, we introduce a new class of boundary value problems consisting of a fractional
differential equation of Riemann-Liouville type, D q RL x (t)= f (t, x (t)), t∈[0, T], subject to the …