We investigate a new class of boundary value problems nonlinear coupled system sequential fractional differential equations and inclusions involving Caputo derivatives conditions. use standard fixed-point theory tools to deduce sufficient criteria for the existence uniqueness solutions at hand. Examples are discussed illustrate validity proposed results.

This paper aims to present the existence, uniqueness, and Hyers-Ulam stability of coupled system nonlinear fractional differential equations (FDEs) with multipoint nonlocal integral boundary conditions. The derivative Caputo-Hadamard type is used formulate FDEs, integrals described in conditions are due Hadamard. consequence existence obtained employing alternative Leray-Schauder, Krasnoselskii's, whereas uniqueness result, based on principle Banach contraction mapping. We examine solutions...

Abstract In this paper, we examine the consequences of existence, uniqueness and stability a multi-point boundary value problem defined by system coupled fractional differential equations involving Hadamard derivatives. To prove existence uniqueness, use techniques fixed point theory. Stability Hyers-Ulam type is also discussed. Furthermore, investigate variations in context different conditions. The current results are verified illustrative examples.

We investigate the existence and uniqueness of solutions for Hadamard fractional differential equations with non-local integral boundary conditions, by using Leray Schauder nonlinear alternative, degree theory, Krasnoselskiis fixed point theorem, Schaefers Banach Nonlinear Contractions. Two examples are also presented to illustrate our results.

<abstract><p>In this article, we investigate new results of existence and uniqueness for systems nonlinear coupled differential equations inclusions involving Caputo-type sequential derivatives fractional order along with kinds discrete (multi-points) integral (Riemann-Liouville) boundary conditions. Our investigation is mainly based on the theorems Schaefer, Banach, Covitz-Nadler, alternatives Kakutani. The validity obtained demonstrated by numerical examples.</p></abstract>

We study the existence and uniqueness of solutions for coupled Langevin differential equations fractional order with multipoint boundary conditions involving generalized Liouville–Caputo derivatives. Furthermore, we discuss Ulam–Hyers stability in context problem at hand. The results are shown examples. Results asymmetric when a derivative (ρ) parameter is changed.

Abstract In this paper, we consider a nonlinear sequential q -difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann–Liouville integrals in four points. direction, derive some criteria and of existence uniqueness solutions to given problem. Some pure techniques condensing operators Sadovskii’s measure eigenvalue an operator are employed prove main results. Also, Ulam–Hyers stability generalized investigated. We...

Abstract In this paper, we introduce a new coupled system of sequential fractional differential equations with boundary conditions. We establish existence and uniqueness results using the Leray–Schauder alternative Banach contraction principle. examine stability solutions involved in Hyers–Ulam type. As an application, present few examples to illustrate main results.

In this article, we investigate sufficient conditions for the existence and stability of solutions to a coupled system ψ-Caputo hybrid fractional derivatives order 1<υ≤2 subjected Dirichlet boundary conditions. We discuss uniqueness with assistance Leray–Schauder alternative theorem Banach’s contraction principle. addition, by using some mathematical techniques, examine results Ulam–Hyers. Finally, provide one example in show validity our results.

In this paper, we introduce and investigate the existence stability of a tripled system sequential fractional differential equations (SFDEs) with multi-point integral boundary conditions. The uniqueness solutions are established by principle Banach’s contraction alternative Leray–Schauder. Hyer–Ulam investigated. A few examples provided to identify major results.

<abstract><p>This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal Hadamard multipoint boundary conditions. The desired conclusions obtained using well-known fixed-point theorems. It was emphasized that technique useful determining existence uniqueness value problems. In addition, we examined...

This article deals with the solutions of existence and uniqueness for a new class boundary value problems (BVPs) involving nonlinear fractional differential equations (FDEs), inclusions, conditions generalized integral. The nonlinearity relies on unknown function its derivatives in lower order. We use fixed-point theorems single-valued multi-valued maps to obtain desired results, through support illustrations, main results are well explained. also address some variants problem.

The global economy has been affected enormously due to the spread of coronavirus (COVID-19). Even though, there is availability vaccines, social distancing in public places one viable solutions reduce spreading COVID-19 suggested by World Health Organization (WHO) for fighting against pandemic. This paper presents a YOLO v3 object detection model automate monitoring among persons through CCTV surveillance camera. Furthermore, this research work used detect and track person, measure...

In this paper, we investigate the existence and Hyers–Ulam stability of a coupled differential equations fractional-order with multi-point (discrete) integral boundary conditions that are related to Katugampola integrals. This manuscript can be categorized into four parts: The Leray–Schauder alternative Krasnoselskii’s fixed point theorems used prove solution in first third section. second section emphasizes analysis uniqueness, which is based on Banach theorem’s concept contraction mapping,...

In this paper, we investigate the existence and uniqueness of solutions for Hadamard fractional boundary value problems with nonlocal multipoint conditions. By using Leray-Schauder nonlinear alternative, Leray Schauder degree theory, Krasnoselskii fixed point theorem, Schaefer Banach Nonlinear Contractions, are obtained. As an application, two examples given to demonstrate our results.

<abstract><p>We investigate the criteria for both existence and uniqueness of solutions within a nonlinear coupled system Hilfer-Hadamard sequential fractional differential equations featuring varying orders. This is complemented by nonlocal Hadamard integral boundary conditions. The desired outcomes are attained through application well-established fixed-point theorems. It underscored that approach serves as an effective method establishing to value problems. results obtained...

A brief analysis of boundary value problem Caputo fractional differential equation with nonlocal flux multi-point conditions has been done. The investigation depends on the Banach fixed point theorem and Krasnoselskii-Schaefer due to Burton Kirk, a O'Regan. Relevant examples illustrating main results are also constructed.

In this article, we investigate the existence and uniqueness of solutions for a nonlinear coupled system Liouville–Caputo type fractional integro-differential equations supplemented with non-local discrete integral boundary conditions. The nonlinearity relies both on unknown functions their derivatives integrals in lower order. consequence is obtained utilizing alternative Leray–Schauder, while result based concept Banach contraction mapping. We introduced unification present work varying...

Abstract In this paper, we examine a coupled system of fractional integrodifferential equations Liouville-Caputo form with nonlinearities depending on the unknown functions, as well their lower-order derivatives and integrals supplemented nonlocal Erdélyi-Kober integral boundary conditions. We explain that topic discussed in context is new gives more analysis into research value problems. have two results: first existence result given problem by using Leray-Schauder alternative, whereas...

We study the boundary value problems (BVPs) of Caputo-Hadamard type fractional differential equations (FDEs) supplemented by multi-point conditions. Many new results existence and uniqueness are obtained with use fixed point theorems for single-valued maps. With help examples, well illustrated.

Our basis of this research work shall intend the reader in gaining knowledge over non localdiscrete and multi striptype BVPs linearCFDEs. With concern various tools fixed point theory desperate solutions are procured. Befitting examples adorn acquired results.

This paper studies a new class of boundary value problems Caputo-Hadamard fractional differential equations order $\varrho\in (2, 3]$ supplemented with nonlocal multi-point (discrete) conditions. Existence and uniqueness results for the given problem have obtained by applying standard fixed-point theorems. Finally, two examples are to illustrate validity our main results.