Chebyshev Type Inequalities Involving the Fractional Integral Operator Containing Multi-Index Mittag-Leffler Function in the Kernel

Recently, several authors have investigated Chebyshev type inequalities for numerous fractional integral operators. Being motivated by the work done by earlier researchers and their numerous applications in probability, transform theory, numerical quadrature, statistical problems and its significance in fractional boundary value problems. We aim to evaluate Chebyshev type inequalities involving fractional integral operator containing multi-index Mittag-Leffler function in the kernel. Admissible connections of the results mentioned in this article to those associated with previously established familiar fractional integral operators have been pointed out

Comparison of Radiological and Clinical Outcomes between Expandable and Non-expandable Cages Following Cervical Corpectomy: A Systematic Review and Meta-analysis

Anterior cervical corpectomy and fusion is considered the mainstay of surgical treatment in cervical pathology. Expandable and non-expandable cages are preferred over autogenous bone graft because of donor-related morbidity. However, the choice of the cage type remains a debatable topic as studies report conflicting results. Thus, we evaluated the outcomes of expandable and non-expandable cages following cervical corpectomy. Studies were searched in various electronic databases (MEDLINE, PubMed, EMBASE, CINAHL, Scopus, and Cochrane) between 2011 and 2021. Forest plot was made to compare the radiological and clinical outcomes between expandable and non-expandable cages following cervical corpectomy. Altogether, 26 studies (1,170 patients) were included in the meta-analysis. The mean change in segmental angle was significantly greater in the expandable cage group than in the non-expandable cage group (6.7° vs. 3.0°, p0.05). The improvement in segmental angle is better with expandable cages. Higher subsidence is a major problem with non-expandable cages, but it seems to be beneficial as evidenced by the high fusion rate and minimal effect on clinical outcome in patients with this cage

Post-traumatic acute bilateral facial nerve palsy: A management dilemma

Acute bilateral facial nerve paralysis is a rare clinical entity, and its management remains very controversial (operative or conservative). Here we are presenting a case of acute onset bilateral facial nerve palsy following head injury with bilateral temporal bone fracture with clinico-radiographic contrary. Patient was managed conservatively with complete recovery. By this article, authors want to stress on combining clinical examination and radiological findings for decision making of this rare entity and tried to evaluate the management

Retrieval of a retained broken scalpel blade from lumbar intervertebral disc space: A case report

Lumbar diskectomy is a common procedure in neurosurgery, besides the common complications broken scalpel blade during disc removal is a rare event. Usually retrieval of such sharp retained fragments in same sitting is difficult and to prevent further complications another session is warranted [1]. We report a case of broken scalpel blade during L1-L2 lumbar intervertebral disc removal and successful surgical retrieval of that tip of knife with the help of operative microscope under fluoroscopic guidance during same sitting before any hazardous complications develop

Intramedullary Mature Teratoma of Cervical spine in an Infant: A rare case report

Spinal Teratomas are rare tumor and cervical intramedullary location in infancy still rarer. Only eleven cases of cervical intramedullary teratoma in pediatric patients is reported in available literature (1, 11).We are reporting a case of an infant presenting with cervical mature teratoma with associated dysraphism, adding the next in this rare case series. Arising as a result of dysembryogenesis, these lesions by virtue of their content are difficult to diagnose preoperatively. Heterogeneous intensities on MRI produced by intralesional lipomatous and osseous elements are helpful but rarely enough to diagnose the tumor. Histology is confirmatory. Mature teratomas generally have good prognosis and a timely intervention can prevent further neurological deterioration. However a strict clinical and radiological follow up is recommended

A hybrid analytical algorithm for nonlinear fractional wave-like equations

In this work, we aim to present a hybrid numerical scheme based on the homotopy analysis transform method (HATM) to examine the fractional model of nonlinear wave-like equations having variable coefficients, which narrate the evolution of stochastic systems. The wave-like equation models the erratic motions of small particles that are dipped in fluids and fluctuations of the stochastic behavior of exchange rates. The uniqueness and existence of HATM solution have also been discussed. Some numerical examples are given to establish the accurateness and effectiveness of the suggested scheme. Furthermore, we show that the proposed computational approach can give much better approximation than perturbation and Adomain decomposition method, which are the special cases of HATM. The result exhibits that the HATM is very productive, straight out and computationally very attractive

Symptomatic Thoracic Intramedullary Arachnoid Cyst: “A Rare Entity” Report of Two Cases with Short Review of Literature

Spinal arachnoid cysts are uncommon benign lesions of spine axis and most commonly present as compressive myelopathy. Intramedullary arachnoid cyst is uncommonly seen, hence, not much discussed in literature. Due to rarity of this entity, many questions are yet to be answered and should be addressed properly, particularly related to etiopathogenesis, accustomed course, behavior, differential diagnosis, and the best treatment modality. We report the clinicopathological profile of thoracic intramedullary arachnoid cysts in two adult patients, and present a detailed review of available literature on the spinal intramedullary arachnoid cyst. Most of the literature concerning with intramedullary arachnoid cysts are in the form of case reports from pediatrics population. As far to the best of our knowledge, only a few cases excluding our two were found in both pediatrics and adult population

International Conference on Mathematical Modelling, Applied Analysis and Computation

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics