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

We employ Mittag-Leffler type kernels to solve a system of fractional differential equations using fractal-fractional (FF) operators with two fractal and orders. Using the notion FF-derivatives nonsingular nonlocal fading memory, model three polluted lakes one source pollution is investigated. The properties non-decreasing compact mapping are used in order prove existence solution for FF-model lake system. For this purpose, Leray-Schauder theorem used. After exploring stability requirements...

Abstract The aim of this work is to present a new fractional order model novel coronavirus (nCoV-2019) under Caputo–Fabrizio derivative. We make use fixed point theory and Picard–Lindelöf technique explore the existence uniqueness solution for proposed model. Moreover, we generalized Hyers–Ulam stability using Gronwall’s inequality.

Abstract We investigate the existence and uniqueness of solutions to a coupled system hybrid fractional integro-differential equations involving φ -Caputo operators. To achieve this goal, we make use fixed point theorem for sum three operators due Dhage also result is obtained by making Banach contraction principle. Moreover, explore Ulam–Hyers stability its generalized version given system. An example presented guarantee validity our results.

Few studies have investigated the existence and uniqueness of solutions for fractional differential equations on star graphs until now. The published papers topic are based assumption one junction node some boundary nodes as origin a graph. These structures special cases do not cover more general non-star graph structures. In this paper, we state labeling method vertices, then prove results to new family value problems (FBVPs) methylpropane We design chemical compound with vertices specified...

Jleli and Samet (2018) introduced a new metric space named it as F-space. In this paper we consider the notion of α-ψ-contraction in setting F-metric spaces. We present some fixed point coupled results generalized setting. Moreover, our purpose is to concerned with solution nonlinear neutral differential equation x′(t)=−a(t)x(t)+b(t)g(x(t−r(t)))+c(t)x′(t−r(t))with unbounded delay using theory space.

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...

Meningitis is an inflammation of the membranes that surround and protect brain spinal cord. Typically, enlargement caused by a bacterial or viral infection fluid around For many years, licensed vaccinations against meningococcal, pneumococcal, Haemophilus influenzae diseases have been accessible. Vaccines are meant to most dangerous strains these germs, which known as serotypes serogroups. There significant increases in strain coverage vaccine availability throughout time, but there no...

Simple, sensitive, rapid, and accurate high-performance liquid chromatographic (HPLC) method is developed validated for the simultaneous determination of diltiazem, metformin, pioglitazone, rosiglitazone hydrochloride in raw materials, their pharmaceutical formulations, human serum. In HPLC, all above drugs were chromatographed using acetonitrile-methanol-water (30:20:50, v/v, pH 2.59 ± 0.02) as mobile phase at a flow rate 1.0 mL/min ambient temperature. The separation carried out on Hiber,...

The purpose of this paper is to introduce a new four-step iteration scheme for approximation fixed point the nonexpansive mappings named as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>∗</mml:mi></mml:mrow></mml:msup></mml:math>-iteration which faster than Picard, Mann, Ishikawa, Noor, Agarwal, Abbas, Thakur, and Ullah schemes. We show stability our proposed scheme. present numerical example that...

We study the existence of solutions for a newly configured model double-order integrodifferential equation including <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M2"> <a:mi>φ</a:mi> </a:math> -Caputo <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M3"> <c:mi>φ</c:mi> </c:math> -integral boundary conditions. In this way, we use Krasnoselskii and Leray-Schauder fixed point results. Also, invoke Banach contraction principle to confirm uniqueness existing solutions. Finally,...

In this study, we prove the existence of a fixed point for Suzuki‐type δ ‐contraction, which is generalization ‐contraction and weak mappings. We theorem multivalued mappings satisfying in complete fuzzy metric spaces. Furthermore, some several results single establish examples that support our study. As an application, present uniqueness solution system functional equations dynamic programming.

&lt;p style="text-align:justify"&gt;This paper describes the procedure of developing an instructional tool, ‘concept mapping’ and its effectiveness in making material meaningful to students. In Pakistan, traditional way teaching science subjects at all levels school relies heavily on memorization. The up-to-date data obtained from qualitative quantitative research strongly supports value concept mapping as tool both for cognitive affective gains. This study seeks contribute this development...

We present the notion of orthogonal F -metric spaces and prove some fixed periodic point theorems for ⊥ Ω -contraction. give a nontrivial example to validity our result. Finally, as application, we existence uniqueness solution nonlinear fractional differential equation.

In the current manuscript, we intend to investigate existence, uniqueness, and stability of positive solution in relation a fractional version variable order thermostat model equipped with nonlocal boundary values Caputo sense. fact, will get help from constant piece-wise functions for transforming our into an auxiliary standard thermostat. By Guo-Krasnoselskii’s fixed point theorem on cones, derive required conditions ensuring existence property solutions. An example is illustrated examine...

This paper considers an alternated inertial-type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split and fixed-point constraints demimetric mapping. The which involves inertial uses self-adjustment stepsize condition that depends solely on information from previous iterative step. considered work consists upper-level underlying operator is pseudomonotone, while lower associated strongly monotone mapping...

The aim of this paper is to present coincidence best proximity point results F g -weak contractive mappings in partially ordered metric space.Some examples are presented prove the validity our results.

High-performance liquid chromatographic (HPLC) method has been developed and validated for the simultaneous determination of diltiazem statins in raw materials, their pharmaceutical formulations human serum. In HPLC, are chromatographed using acetonitrile–water (85 : 15 v/v, pH 2.6 ± 0.02) as mobile phase at a flow rate 1.0 mL min−1 ambient temperature. The separation is carried out on Hiber®, 250-4.6 RP-18 column, equipped with UV/visible detector 230 nm. All eluted different retention time...

In this paper, we propose a modified extragradient method for solving strongly pseudomonotone equilibrium problem in real Hilbert space.A strong convergence theorem relative to our proposed is proved and the has worked without having information of constant Lipschitz-type constants bifunction.We have carried out numerical explanations justify well-established results, can see that substantial improvement over time execution number iterations.

SARS-CoV-2 is a strain of the large coronavirus family that has led to COVID-19 disease. The virus been one deadliest known viruses in world date. Rapid mutations and creation new strains cause researchers focus on dynamic behaviors analyze it accurately through clinical research mathematical models. In this paper, from point view modeling, we intend behavior system examine its analytical numerical aspects two different structures. other words, by recalling newly formulated hybrid...

Based on the concepts of contractive conditions due to Suzuki (Suzuki, T., A generalized Banach contraction principle that characterizes metric completeness, Proceedings American Mathematical Society, 2008, 136, 1861–1869) and Jleli (Jleli, M., Samet, B., new generalization principle, J. Inequal. Appl., 2014, 38), our aim is combine aforementioned in more general way for set valued single mappings prove existence best proximity point results context b-metric spaces. Endowing concept graph...

Based on the concepts of ?-proximal admissible mappings and simulation function, we establish some best proximity point coupled results in context b-complete b-metric spaces. We also provide concrete examples to illustrate obtained results. Moreover, prove existence solution nonlinear integral equation positive definite matrix X = Q + ?m,i=1 A*i?(X)Ai-?m,i=1 B*i(X)Bi. The given not only unify but generalize a number existing topic corresponding literature.