On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

The fundamental goal of the study under consideration is to establish some of the existence criteria needed for a particular fractional inclusion model of cantilever beam in the setting of quantum calculus using new arguments of existence theory. In this way, we investigate a fractional integral equation that corresponds to the aforementioned boundary value problem. In a more concrete sense, we design new multi-valued operators based on this integral equation, which belong to the certain subclasses of functions, called α-admissible and α-ψ-contractive multi-functions, in combination with the AEP-property. Also, we use some inequalities such as Ω-inequality and set-valued version inequalities. Moreover, we add a simulative example for a numerical analysis of our results obtained in this study.

Existence of Solutions for a Class of Caputo Fractional q-Difference Inclusion on Multifunctions by Computational Results

In this paper, we study a class of fractional q-differential inclusion of order 0 < q < 1 under L1-Caratheodory with convex-compact valued properties on multifunctions. By the use of existence of fixed point for closed valued contractive multifunction on a complete metric space which has been proved by Covitz and Nadler, we provide the existence of solutions for the inclusion problem via some conditions. Also, we give a couple of examples to elaborate our results and to present the obtained results by some numerical computations.

Condensing Functions and Approximate Endpoint Criterion for the Existence Analysis of Quantum Integro-Difference FBVPs

A nonlinear quantum boundary value problem (q-FBVP) formulated in the sense of quantum Caputo derivative, with fractional q-integro-difference conditions along with its fractional quantum-difference inclusion q-BVP are investigated in this research. To prove the solutions’ existence for these quantum systems, we rely on the notions such as the condensing functions and approximate endpoint criterion (AEPC). Two numerical examples are provided to apply and validate our main results in this research work.

Organizing rocks: Actor–network theory and space

In an ethnography of the organizing of an underground mine, this article critically engages with actor–network theory’s theorizing of space, particularly the risk of drifting into spatial pluralism. Inspired by Annemarie Mol’s The Body Multiple, a space multiple approach is enrolled in which seemingly disparate enactments of the mining operations are understood in terms of coexistence and difference, inclusion and exclusion. Such an account attempts to cast aside a kind of neatness that jeopardizes the empirical openness that makes actor–network theory so fruitful to work with in organization studies dealing with spatial complexity.