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 Mathematical Analysis and its Contemporary ApplicationsNumber of Followers: 1     Open Access journal ISSN (Online) 2716-9898 Published by A.I.A University Publishing Group  [1 journal]
• A novel coupled fixed point results pertinent to Ab-metric spaces with
application to Integral equations

• Abstract: We prove the existence and uniqueness of coupled common fixed point results in partially ordered $\mathscr{A}_b$-metric spaces in the present study. In addition to the acquired results, examples and applications are provided.

• On fixed point results in $F$-metric space with applications to neutral
differential equations

• Abstract: In this paper, a new concept of $\acute{C}iric$-Kannan -$\alpha-\psi$-contractions in the setting of $F$-metric space is introduced. Using this idea, endowed with suitable hypotheses, some fixed point theorems for such mappings in $F$-complete $F$-metric space are established. As an application, an existence condition for a solution of nonlinear neutral differential equations is investigated to show the usability of our obtained results.

• Stability analysis of transmitter receptors model

• Abstract: The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined with receptors, and recycled for storage. For such a system, a collection of equations is proposed and analyzed. We considered the solution's asymptotically stability and discussed the physiological effect of transmitter receptor transport in a synaptic chasm in the presence of receptors and transporters with different kinetic properties under these limited conditions.

• Some critical remarks of recent results on F-contractions in b-metric
spaces

• Abstract: In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function F: $\left( 0,+\infty \right) \rightarrow \left( -\infty ,+\infty \right) .$

• Notes on the stability of multimixed additive-quartic mappings

• Abstract: In this article, we prove the Hyers-Ulam stability of multimixed additive-quartic functional equations in the setting of Banach spaces by applying a fixed point method and moreover we generalize some known results.

• Exact controllability and continuous dependence of solution of a
conformable fractional control system

• Abstract: The exact controllability of a conformable fractional differential system is established in this paper. The system is described by a non-densely defined linear part satisfying the Hille Yosida condition, and a control term appearing in the nonlinear part. The existence of mild solution and exact controllability is proved by Banach fixed point theorem for the system with non-local conditions and deviated argument. The continuous dependence of the mild solution is also studied. An example is discussed to illustrate the results.

• Fixed point theorems for occasionally weakly compatible maps in
neutrosophic metric spaces

• Abstract: In 2008, Al-Thagafi and Shahzad introduced the notion of Occasionally Weakly Compatible mappings (shortly OWC maps) which is more general than all the commutativity concepts. The purpose of the paper is to obtain common fixed point theorems in Neutrosophic metric spaces by using OWC maps.

• Automatic continuity of almost Jordan derivations on special Jordan Banach
algebras

• Abstract: The following is the question form of Kaplansky conjecture of 1958. Is every derivation on semisimple Banach algebra continuous' Kaplansky conjecture was proved by Johnson and Sinclair in 1968. The concept of almost Jordan derivations on Jordan Banach algebras is introduced in this article. Also, Kaplansky conjecture is extended to Jordan Banach algebras as an open question: Is every almost Jordan derivations on semisimple Jordan Banach algebras continuous'. Moreover, a partial answer to this open question is derived in the sense that every almost Jordan derivation $T$ on semisimple special Jordan Banach algebras $\Omega^{+}$, with an additional condition on $\Omega^{+}$, is continuous.

• t-norms over fuzzy ideals (implicative, positive implicative) of
BCK-algebras

• Abstract: In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product and homomorphisms(image and pre image) and we study related properties.

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