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Inequalities for fractional differential equations [PDF]

Mathematical Inequalities & Applications, 2009
We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.
N. E. T Atar, G. Anastassiou, Khaled M. Furati   +2 more
openaire   +1 more source

Tumor clusters with divergent inflammation and human retroelement expression determine the clinical outcome of patients with serous ovarian cancer

Molecular Oncology, EarlyView.
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner, Markus Eckstein, Christoph Mark, Matthias W. Beckmann, Arndt Hartmann, Pamela L. Strissel, Reiner Strick   +6 more
wiley   +1 more source

Convergence analysis for the fractional decomposition method applied to class of nonlinear fractional Fredholm integro-differential equation

Journal of Algorithms & Computational Technology, 2023
For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional ...
Mahmoud S Rawashdeh, Hala Abedalqader, Nazek A Obeidat   +2 more
doaj   +1 more source

EGFR‐STAT3 activation provides a therapeutic rationale for targeting aggressive ETV1‐positive prostate cancer

Molecular Oncology, EarlyView.
Cotargeting EGFR and STAT3 with Erlotinib and TTI‐101 impairs both 2D and 3D growth of ETV1‐overexpressing prostate cancer cells by disrupting a self‐sustaining ETV1–EGFR positive feedback loop that promotes EGFR and STAT3 expression and phosphorylation (activation).
Elsa Gomes Paiva, Bernardo Orr, Ana Azeredo, Andreia Brandão, Manuel R. Teixeira, Paula Paulo   +5 more
wiley   +1 more source

Analyzing fuzzy fractional Degasperis–Procesi and Camassa–Holm equations with the Atangana–Baleanu operator

Open Physics
This article presents a new approach for solving the fuzzy fractional Degasperis–Procesi (FFDP) and Camassa–Holm equations using the iterative transform method (ITM). The fractional Degasperis–Procesi (DP) and Camassa–Holm equations are extended from the
Alshehry Azzh Saad, Yasmin Humaira, Shah Manzoor Ali, Shah Rasool   +3 more
doaj   +1 more source

Cytomegalovirus infection is common in prostate cancer and antiviral therapies inhibit progression in disease models

Molecular Oncology, EarlyView.
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon, Moa Stenudd, Margherita Zamboni, Kanar Alkass, Carl‐Johan Eriksson, Lars Pedersen, Alrik Schörling, Anna Thoss, Anders Bergh, Pernilla Wikström, Hans‐Olov Adami, Henrik Toft Sørensen, Henrik Druid, Jonas Frisén   +13 more
wiley   +1 more source

β‐TrCP overexpression enhances cisplatin sensitivity by depleting BRCA1

Molecular Oncology, EarlyView.
Low levels of β‐TrCP (Panel A) allow the accumulation of BRCA1 and CtIP, which facilitate the repair of cisplatin‐induced DNA damage via homologous recombination (HR) and promote tumor cell survival. In contrast, high β‐TrCP expression (Panel B) leads to BRCA1 and CtIP degradation, impairing HR repair, resulting in persistent DNA damage and apoptosis ...
Rocío Jiménez‐Guerrero, Alejandro Belmonte‐Fernández, Mónica González‐Moreno, Laura Rodríguez‐Cordero, Begoña Pérez‐Valderrama, Joaquín Herrero‐Ruíz, Francisco Romero, Carmen Sáez, Miguel Á. Japón   +8 more
wiley   +1 more source

The Rishi Transform method for solving multi-high order fractional differential equations with constant coefficients

AIMS Mathematics
In this paper, we suggest the Rishi transform, which may be used to find the analytic (exact) solution to multi-high-order linear fractional differential equations, where the Riemann-Liouville and Caputo fractional derivatives are used.
Ali Turab, Hozan Hilmi, Juan L.G. Guirao, Shabaz Jalil, Nejmeddine Chorfi, Pshtiwan Othman Mohammed   +5 more
doaj   +1 more source

Singular fractional differential equations [PDF]

PAMM, 2013
AbstractFractional differential equations have received increasing attention during recent years since the behavior of many physical systems can be properly described using the fractional order system theory.By fractional analog for Duhamel principle we give the existence‐uniqueness result for linear and nonlinear time fractional evolution equations ...
openaire   +2 more sources

Unveiling unique protein and phosphorylation signatures in lung adenocarcinomas with and without ALK, EGFR, and KRAS genetic alterations

Molecular Oncology, EarlyView.
Proteomic and phosphoproteomic analyses were performed on lung adenocarcinoma (LUAD) tumors with EGFR, KRAS, or EML4–ALK alterations and wild‐type cases. Distinct protein expression and phosphorylation patterns were identified, especially in EGFR‐mutated tumors. Key altered pathways included vesicle transport and RNA splicing.
Fanni Bugyi, Mirjam Balbisi, Simon Sugár, Lóránd Váncza, Eszter Regős, Ilona Kovalszky, Ibolya Laczó, Tünde Harkó, Gábor Kecskeméti, Zoltán Szabó, Judit Moldvay, László Drahos, Lilla Turiák   +12 more
wiley   +1 more source