This article introduces a novel procedure to detect an approximate solution to Fredholm fractional integro-differential equations with linear type (LFFIDE) defined using Caputo fractional derivative. The new procedure approximates the solution using three types of polynomials: Laguerre polynomials, Hermite polynomials, and Legendre polynomials, thereafter transforming the problem into a linear programming problem. The approximate solutions are compared using testing examples to examine the efficiency of the suggested approach. Also, a comparison with the other methods using the same polynomials illustrates The effectiveness and consistency of the proposed technique. Finally, the error analysis of the proposed technique and convergent are di

An efficient modification and a novel technique combining the homotopy concept with  Adomian decomposition method (ADM) to obtain an accurate analytical solution for Riccati matrix delay differential equation (RMDDE) is introduced  in this paper  . Both methods are very efficient and effective. The whole integral part of ADM is used instead of the integral part of homotopy technique. The major feature in current technique gives us a large convergence region of iterative approximate solutions .The results acquired by this technique give better approximations for a larger region as well as previously. Finally, the results conducted via suggesting an efficient and easy technique, and may be addressed to other non-linear problems.

In this paper, we study the growth of solutions of the second order linear complex differential equations  insuring that any nontrivial solutions are of infinite order. It is assumed that the coefficients satisfy the extremal condition for Yang’s inequality and the extremal condition for Denjoy’s conjecture. The other condition is that one of the coefficients itself is a solution of the differential equation .

Klebsiella pneumoniae causes lethal nosocomial infections, mostly affecting patients with severe burns. More than 80% of its isolates have shown resistance to routinely used antibiotics in parallel with increased infection rates. The study aimed to determine the molecular typing and genetic relatedness of K. pneumoniae. Therefore, 20 multidrug resistant (MDR) K. pneumoniae already isolated from infected burned wounds in two major hospitals of Al-Kut city east Iraq were subjected to genotyping analysis. The random amplified polymorphic DNA (RAPD)-based polymerase chain reaction (PCR) technique was used along with three oligonucleotide primers (P13, OPX-04, and OPY-01). The amplicons’ patterns of the electrophoresis-gel were analyzed by the

Lymphoma is a cancer arising from B or T lymphocytes that are central immune system ‎components. It is one of the three most common cancers encountered in the canine; ‎lymphoma affects middle-aged to older dogs and usually stems from lymphatic tissues, ‎such as lymph nodes, lymphoid tissue, or spleen. Despite the advance in the management of ‎canine lymphoma, a better understanding of the subtype and tumor aggressiveness is still ‎crucial for improved clinical diagnosis to differentiate malignancy from hyperplastic ‎conditions and to improve decision-making around treating and what treatment type to use. ‎This study aimed to evaluate a potential novel biomarker related to iron metabolism,

In the present study, chalcone derivatives were synthesized via the Claisen-Schmidt condensation of 2-methyl acetanilide or 4-nitro acetanilide with p-dimethyl amino benzaldehyde in an ethanolic sodium hydroxide solution. The resulting chalcone reacted with urea or thiourea to produce several novel pyrimidine derivatives. All the synthesized compounds were characterized by FTIR, 1HNMR and 13CNMR spectroscopy. Before the synthesis process, molecular docking studies were performed to evaluate the potential of the synthesized molecules as drug candidates. Thus, molecular docking studies were performed using the CCDC GOLD suite (version 2025). The molecular docking results showed that the synthesized molecules had a noticeable affinity towards