This work explores the possibility that iterative classes of elliptic equations have both single and coupled positive radial solutions. Our approach is based on using well-known Guo–Krasnoselskii Avery–Henderson fixed-point theorems in a Banach space. Furthermore, we utilize Rus’ theorem metric space, to prove uniqueness solutions for problem. Examples are constructed sake verification.

A coupled system under Caputo-Fabrizio fractional order derivative (CFFOD) with antiperiodic boundary condition is considered. We use piecewise version of CFFOD. Sufficient conditions for the existence and uniqueness solution by ap?plying Banach, Krasnoselskii?s fixed point theorems. Also some appropriate results Hyers-Ulam (H-U) stability analysis established. Proper example given to verify re...

The solution to a sequential fractional differential equation with affine periodic boundary value conditions is investigated in this paper. existence theorem of established by means the Leray–Schauder fixed point and Krasnoselskii theorem. What more, uniqueness demonstrated via Banach contraction mapping principle. In order illustrate main results, two examples are listed.

In this article, we present some results on the existence and uniqueness of random solutions to a non-linear implicit fractional differential equation involving generalized Caputo derivative operator supplemented with non-local periodic boundary conditions. We make use fixed point theorems due Banach Krasnoselskii derive desired results. Examples illustrating obtained are also presented.

in this paper, we prove the existence of the solution for boundary value prob-lem(bvp) of fractional dierential equations of order q 2 (2; 3]. the kras-noselskii's xed point theorem is applied to establish the results. in addition,we give an detailed example to demonstrate the main result.

In this paper, we study the existence and uniqueness of solutions for a multiple system fractional differential equations with nonlocal integro multi point boundary conditions by using p-Laplacian operator ?-Caputo derivatives. The presented results are obtained two fixed theorems Banach Krasnoselskii. An illustrative example is at end to show applicability results. To best our knowledge, first...

The major goal of this research paper is to investigate the existence and uniqueness an implicit fractional pantograph equation in frame Hilfer-Katugampola operator on finite interval $[a,b]$ with mixed nonlocal conditions. Our analysis solutions depends some fixed point theorems such as Banach Krasnoselskii. Moreover, we discuss dependence conditions by means $\delta $-approximated solution. A...

This paper is concerned with the controllability results of neutral impulsive stochastic functional integrodifferential equations driven by a fractional Brownian motion infinite delay in real separable Hilbert space. The are obtained using analysis, theory resolvent operator sense Grimmer and Krasnoselskii fixed point theorem. An example provided to illustrate theory.