<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of <italic>b</italic>-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.
</abstract>

Department of Mathematics, Applied Mathematics Laboratory

System Dynamics and Control Laboratory, Department of Mathematics and Informatics

Some fixed point theorems of rational type contraction in <italic>b</italic>-metric spaces

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
</abstract>

Integral geometry on discrete matrices

<abstract xmlns="http://www.w3.org/1999/xhtml">

The aim of this paper is to study the onto isometries of the space of strongly Lipschitz <italic>p</italic>-nuclear operators, introduced by D. Chen and B. Zheng (Nonlinear Anal.,75, 2012). We give some new results about such isometrics and we focus, in particular, on the case <italic>F</italic> = ℓ<italic>p</italic>*.
</abstract>

Some results about Lipschitz <italic>p</italic>-Nuclear Operators

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic <italic>h</italic>-preinvex functions involving Euler’s beta and hypergeometric functions. The obtained results are mainly based on the identity given by M. A. Noor, K. I. Noor and S. Iftikhar in [17].
</abstract>

Département des Mathématiques, Faculté des mathématiques, de l’informatique et des sciences de la matière

Faculté des Sciences et de la Technologie

Integral inequalities via harmonically <italic>h</italic>-convexity

<abstract xmlns="http://www.w3.org/1999/xhtml">

The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution, then we prove the existence which is based on the range density of the operator associated with the problem.
</abstract>

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are described in the conformable sense. This algorithm is based on shifted Chebyshev polynomials of the fourth kind. The time-space fractional telegraph equations is reduced to a linear system of second order differential equations and the Newmark’s method is applied to solve this system. Finally, some numerical examples are presented to confirm the reliability and effectiveness of this algorithm.
</abstract>

Laboratory of Pure and Applied Mathematics

An efficient algorithm for solving the conformable time-space fractional telegraph equations

<abstract xmlns="http://www.w3.org/1999/xhtml">

In this paper, we investigate several interesting properties for certain class of analytic functions defined by q-analogue of p-valent Cătaş operator. All our results are sharp.
</abstract>

Department of Mathematics, Faculty of Science

Certain Classes of Analytic Functions Associated With <italic>q</italic>-Analogue of <italic>p</italic>-Valent Cătaş Operator

<abstract xmlns="http://www.w3.org/1999/xhtml">

In the present paper a generalization of the Laplace transform is introduced and studied. Its inversion formula is also obtained. As an application, we obtain the generalized fractional Laplace transform of a general class of functions and a product of the Fox’s <italic>H</italic>- function and general class of functions. The results obtained are of general nature and capable of yielding a large number of known or new results as special cases. For illustration, some special cases involving important special functions are mentioned.
</abstract>

On the generalized fractional Laplace transform

<abstract xmlns="http://www.w3.org/1999/xhtml">

In the present paper, we study the Jacobson’s Lemma in the unital ring of all bounded right linear operators ℬ<italic>R</italic>(<italic>X</italic>) acting on a two-sided quaternionic Banach space <italic>X</italic>. In particular, let <italic>A</italic>, <italic>B</italic> ∈ ℬ<italic>R</italic>(<italic>X</italic>) and let <italic>q</italic> ∈ ℍ \ {0}, we prove that <italic>w</italic>(<italic>AB</italic>) \ {0} = <italic>w</italic>(<italic>BA</italic>) \ {0} where <italic>w</italic> belongs to the spherical spectrum, the spherical approximate point spectrum, the right spherical spectrum, the left spherical spectrum, the spherical point spectrum, the spherical residual spectrum and the spherical continuous spectrum. We also prove that the range of (<italic>AB</italic>)2 − 2Re(<italic>q</italic>)<italic>AB</italic> + |<italic>q</italic>|2<italic>I</italic> is closed if and only if (<italic>BA</italic>)2 − 2Re(<italic>q</italic>)<italic>BA</italic> + |<italic>q</italic>|2<italic>I</italic> has closed range. Finally, we show that (<italic>AB</italic>)2 − 2Re(<italic>q</italic>)<italic>AB</italic> + |<italic>q</italic>|2<italic>I</italic> is Drazin invertible if and only if (<italic>BA</italic>)2 − 2Re(<italic>q</italic>)<italic>BA</italic> + |<italic>q</italic>|2<italic>I</italic> is.
</abstract>

Jacobson’s Lemma in the ring of quaternionic linear operators

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Moroccan Journal of Pure and Applied Analysis

 The Moroccan Journal of Pure and Applied Analysis "MJPAA" (Print ISSN: 2605-6364) is a peer-reviewed open access journal published by the "Université Sidi Mohamed Ben Abdellah" (Sidi Mohamed Ben Abdallah University), covering all main-stream branches of pure and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, numerical analysis, optimization theory, and control theory.   MJPAA is published by Sidi Mohamed Ben Abdallah University in three issues in January, May and September.   Why subscribe and read    The journal covers a wide range of branches of mathematical analysis.   Pure and applied analysis topics are intensely studied by researchers throughout the world especially in Africa, the Arab and European countries.   An edition committee of high-level and international renown.   Editorial board representing different regions of the world and various research teams.      Why submit    No publication charges for the authors or their institutions.   The journal is available to be indexed in the most important databases.   The journal is among the best in its field in Africa and the Arab world.      Rejection Rate    45%      Archiving   Sciendo archives the contents of this journal in Portico - digital long-term preservation service of scholarly books, journals and collections.   Plagiarism Policy   The editorial board is participating in a growing community of Similarity Check System's users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process.   Publisher:Sidi Mohamed Ben Abdallah University (Route Imouzzer, BP 2626 Fez 30000, Morocco, Tel. : 0212 5 35 60 96 60/ 61)   Contact:Professor Youssef Akdim, Sidi Mohamed Ben Abdellah Universitymjpaa.edition1@usmba.ac.ma 

Moroccan Journal of Pure and Applied Analysis

Volume 7 (2021): Issue 3 (September 2021)

Some fixed point theorems of rational type contraction in b-metric spaces

Integral geometry on discrete matrices

Some results about Lipschitz p-Nuclear Operators

Integral inequalities via harmonically h-convexity

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

An efficient algorithm for solving the conformable time-space fractional telegraph equations

Certain Classes of Analytic Functions Associated With q-Analogue of p-Valent Cătaş Operator

On the generalized fractional Laplace transform

Jacobson’s Lemma in the ring of quaternionic linear operators

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